479390064400 has 135 divisors (see below), whose sum is σ = 1247613098079. Its totient is φ = 176939093760.

The previous prime is 479390064397. The next prime is 479390064421. The reversal of 479390064400 is 4460093974.

The square root of 479390064400 is 692380.

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 123563498256 + 355826566144 = 351516^2 + 596512^2 .

It is a super-2 number, since 2×479390064400² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 180017469 + ... + 180020131.

Almost surely, 2^479390064400 is an apocalyptic number.

479390064400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

479390064400 is the 692380-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 479390064400

479390064400 is an abundant number, since it is smaller than the sum of its proper divisors (768223033679).

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

479390064400 is an equidigital number, since it uses as much as digits as its factorization.

479390064400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5370 (or 2683 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 46.

The spelling of 479390064400 in words is "four hundred seventy-nine billion, three hundred ninety million, sixty-four thousand, four hundred".