479697494400 has 576 divisors, whose sum is σ = 1796407835040. Its totient is φ = 121651200000.

The previous prime is 479697494389. The next prime is 479697494447. The reversal of 479697494400 is 4494796974.

479697494400 is a `hidden beast` number, since 4 + 79 + 6 + 9 + 74 + 94 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×479697494400² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 119892400 + ... + 119896400.

Almost surely, 2^479697494400 is an apocalyptic number.

479697494400 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 479697494400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (898203917520).

479697494400 is an abundant number, since it is smaller than the sum of its proper divisors (1316710340640).

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

479697494400 is a wasteful number, since it uses less digits than its factorization.

479697494400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4235 (or 4215 counting only the distinct ones).

The product of its (nonzero) digits is 54867456, while the sum is 63.

The spelling of 479697494400 in words is "four hundred seventy-nine billion, six hundred ninety-seven million, four hundred ninety-four thousand, four hundred".