479930424296400 has 4320 divisors, whose sum is σ = 2423009074636800. Its totient is φ = 85047327129600.

The previous prime is 479930424296359. The next prime is 479930424296497. The reversal of 479930424296400 is 4692424039974.

It is a happy number.

479930424296400 is a `hidden beast` number, since 4 + 7 + 99 + 30 + 4 + 24 + 2 + 96 + 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 (23) of ones.

It is a polite number, since it can be written in 863 ways as a sum of consecutive naturals, for example, 35008412746 + ... + 35008426454.

It is an arithmetic number, because the mean of its divisors is an integer number (560881730240).

Almost surely, 2^{479930424296400} is an apocalyptic number.

479930424296400 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 479930424296400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1211504537318400).

479930424296400 is an abundant number, since it is smaller than the sum of its proper divisors (1943078650340400).

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

479930424296400 is a wasteful number, since it uses less digits than its factorization.

479930424296400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13827 (or 13796 counting only the distinct ones).

The product of its (nonzero) digits is 94058496, while the sum is 63.

The spelling of 479930424296400 in words is "four hundred seventy-nine trillion, nine hundred thirty billion, four hundred twenty-four million, two hundred ninety-six thousand, four hundred".