479956088400 has 120 divisors (see below), whose sum is σ = 1538216116320. Its totient is φ = 127925291520.

The previous prime is 479956088357. The next prime is 479956088431. The reversal of 479956088400 is 4880659974.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×479956088400² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2366191 + ... + 2561009.

It is an arithmetic number, because the mean of its divisors is an integer number (12818467636).

Almost surely, 2^479956088400 is an apocalyptic number.

479956088400 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 479956088400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (769108058160).

479956088400 is an abundant number, since it is smaller than the sum of its proper divisors (1058260027920).

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

479956088400 is a wasteful number, since it uses less digits than its factorization.

479956088400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196893 (or 196882 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 60.

The spelling of 479956088400 in words is "four hundred seventy-nine billion, nine hundred fifty-six million, eighty-eight thousand, four hundred".