479828966400 has 924 divisors, whose sum is σ = 2038585061392. Its totient is φ = 109645332480.

The previous prime is 479828966399. The next prime is 479828966417. The reversal of 479828966400 is 4669828974.

479828966400 is a `hidden beast` number, since 4 + 7 + 98 + 2 + 89 + 66 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 83 ways as a sum of consecutive naturals, for example, 130634964 + ... + 130638636.

Almost surely, 2^479828966400 is an apocalyptic number.

479828966400 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 479828966400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1019292530696).

479828966400 is an abundant number, since it is smaller than the sum of its proper divisors (1558756094992).

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

479828966400 is an equidigital number, since it uses as much as digits as its factorization.

479828966400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3728 (or 3690 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 479828966400 in words is "four hundred seventy-nine billion, eight hundred twenty-eight million, nine hundred sixty-six thousand, four hundred".