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474001000 = 235311411051
BaseRepresentation
bin11100010000001…
…010111001101000
31020000220202010121
4130100022321220
51432321013000
6115011253024
714513641054
oct3420127150
91200822117
10474001000
11223619a70
121128aa174
1377281285
1446d48c64
152b92eb1a
hex1c40ae68

474001000 has 128 divisors (see below), whose sum is σ = 1240686720. Its totient is φ = 168000000.

The previous prime is 474000991. The next prime is 474001001. The reversal of 474001000 is 100474.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (474001001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 450475 + ... + 451525.

It is an arithmetic number, because the mean of its divisors is an integer number (9692865).

Almost surely, 2474001000 is an apocalyptic number.

474001000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 474001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (620343360).

474001000 is an abundant number, since it is smaller than the sum of its proper divisors (766685720).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

474001000 is a wasteful number, since it uses less digits than its factorization.

474001000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1124 (or 1110 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 16.

The square root of 474001000 is about 21771.5640228257. The cubic root of 474001000 is about 779.6979983607.

Adding to 474001000 its reverse (100474), we get a palindrome (474101474).

It can be divided in two parts, 47400 and 1000, that added together give a square (48400 = 2202).

The spelling of 474001000 in words is "four hundred seventy-four million, one thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 41 44 50 55 82 88 100 110 125 164 200 205 220 250 275 328 410 440 451 500 550 820 902 1000 1025 1051 1100 1375 1640 1804 2050 2102 2200 2255 2750 3608 4100 4204 4510 5125 5255 5500 8200 8408 9020 10250 10510 11000 11275 11561 18040 20500 21020 22550 23122 26275 41000 42040 43091 45100 46244 52550 56375 57805 86182 90200 92488 105100 112750 115610 131375 172364 210200 215455 225500 231220 262750 289025 344728 430910 451000 462440 474001 525500 578050 861820 948002 1051000 1077275 1156100 1445125 1723640 1896004 2154550 2312200 2370005 2890250 3792008 4309100 4740010 5386375 5780500 8618200 9480020 10772750 11561000 11850025 18960040 21545500 23700050 43091000 47400100 59250125 94800200 118500250 237000500 474001000