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463385856 = 2832692243
BaseRepresentation
bin11011100111101…
…011010100000000
31012021221102220010
4123213223110000
51422111321411
6113551544520
714324500113
oct3347532400
91167842803
10463385856
1121862971a
1210b22b140
137500571b
144578457a
152aa347a6
hex1b9eb500

463385856 has 72 divisors (see below), whose sum is σ = 1238418720. Its totient is φ = 153819136.

The previous prime is 463385849. The next prime is 463385893. The reversal of 463385856 is 658583364.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 205471 + ... + 207713.

It is an arithmetic number, because the mean of its divisors is an integer number (17200260).

Almost surely, 2463385856 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 463385856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (619209360).

463385856 is an abundant number, since it is smaller than the sum of its proper divisors (775032864).

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

463385856 is a wasteful number, since it uses less digits than its factorization.

463385856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2531 (or 2517 counting only the distinct ones).

The product of its digits is 2073600, while the sum is 48.

The square root of 463385856 is about 21526.3990486101. The cubic root of 463385856 is about 773.8336147235.

The spelling of 463385856 in words is "four hundred sixty-three million, three hundred eighty-five thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 269 384 538 768 807 1076 1614 2152 2243 3228 4304 4486 6456 6729 8608 8972 12912 13458 17216 17944 25824 26916 34432 35888 51648 53832 68864 71776 103296 107664 143552 206592 215328 287104 430656 574208 603367 861312 1206734 1722624 1810101 2413468 3620202 4826936 7240404 9653872 14480808 19307744 28961616 38615488 57923232 77230976 115846464 154461952 231692928 463385856