479914718400 has 672 divisors, whose sum is σ = 1915063886400. Its totient is φ = 116187955200.

The previous prime is 479914718399. The next prime is 479914718447. The reversal of 479914718400 is 4817419974.

479914718400 is a `hidden beast` number, since 4 + 7 + 9 + 91 + 471 + 84 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 34250596 + ... + 34264604.

It is an arithmetic number, because the mean of its divisors is an integer number (2849797450).

Almost surely, 2^479914718400 is an apocalyptic number.

479914718400 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 479914718400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (957531943200).

479914718400 is an abundant number, since it is smaller than the sum of its proper divisors (1435149168000).

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

479914718400 is a wasteful number, since it uses less digits than its factorization.

479914718400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14114 (or 14093 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The spelling of 479914718400 in words is "four hundred seventy-nine billion, nine hundred fourteen million, seven hundred eighteen thousand, four hundred".