479860998400 has 243 divisors, whose sum is σ = 1382764042359. Its totient is φ = 164390768640.

The previous prime is 479860998389. The next prime is 479860998413. The reversal of 479860998400 is 4899068974.

The square root of 479860998400 is 692720.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 7573176576 + 472287821824 = 87024^2 + 687232^2 .

It is a Harshad number since it is a multiple of its sum of digits (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 387922582 + ... + 387923818.

Almost surely, 2^479860998400 is an apocalyptic number.

479860998400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

479860998400 is the 692720-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 479860998400

479860998400 is an abundant number, since it is smaller than the sum of its proper divisors (902903043959).

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

479860998400 is an frugal number, since it uses more digits than its factorization.

479860998400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2514 (or 1251 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 64.

Multiplying 479860998400 by its sum of digits (64), we get a square (30711103897600 = 5541760²).

479860998400 divided by its sum of digits (64) gives a square (7497828100 = 86590²).

The spelling of 479860998400 in words is "four hundred seventy-nine billion, eight hundred sixty million, nine hundred ninety-eight thousand, four hundred".