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484260400 = 245213234049
BaseRepresentation
bin11100110111010…
…011101000110000
31020202012222101101
4130313103220300
51442432313100
6120015214144
715000100621
oct3467235060
91222188341
10484260400
11229397008
12116217354
1379433c20
1448459a48
152c7a986a
hex1cdd3a30

484260400 has 120 divisors (see below), whose sum is σ = 1307728800. Its totient is φ = 170987520.

The previous prime is 484260383. The next prime is 484260409. The reversal of 484260400 is 4062484.

It is not an unprimeable number, because it can be changed into a prime (484260409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 117576 + ... + 121624.

It is an arithmetic number, because the mean of its divisors is an integer number (10897740).

Almost surely, 2484260400 is an apocalyptic number.

484260400 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 484260400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (653864400).

484260400 is an abundant number, since it is smaller than the sum of its proper divisors (823468400).

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

484260400 is a wasteful number, since it uses less digits than its factorization.

484260400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4103 (or 4092 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

The square root of 484260400 is about 22005.9173860123. The cubic root of 484260400 is about 785.2832223464.

The spelling of 484260400 in words is "four hundred eighty-four million, two hundred sixty thousand, four hundred".

Divisors: 1 2 4 5 8 10 13 16 20 23 25 26 40 46 50 52 65 80 92 100 104 115 130 184 200 208 230 260 299 325 368 400 460 520 575 598 650 920 1040 1150 1196 1300 1495 1840 2300 2392 2600 2990 4049 4600 4784 5200 5980 7475 8098 9200 11960 14950 16196 20245 23920 29900 32392 40490 52637 59800 64784 80980 93127 101225 105274 119600 161960 186254 202450 210548 263185 323920 372508 404900 421096 465635 526370 745016 809800 842192 931270 1052740 1210651 1315925 1490032 1619600 1862540 2105480 2328175 2421302 2631850 3725080 4210960 4656350 4842604 5263700 6053255 7450160 9312700 9685208 10527400 12106510 18625400 19370416 21054800 24213020 30266275 37250800 48426040 60532550 96852080 121065100 242130200 484260400