479023372800 has 1440 divisors, whose sum is σ = 2077835760000. Its totient is φ = 109247201280.

The previous prime is 479023372693. The next prime is 479023372853. The reversal of 479023372800 is 8273320974.

479023372800 is a `hidden beast` number, since 479 + 0 + 2 + 33 + 72 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1066866976 + ... + 1066867424.

It is an arithmetic number, because the mean of its divisors is an integer number (1442941500).

Almost surely, 2^479023372800 is an apocalyptic number.

479023372800 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 479023372800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1038917880000).

479023372800 is an abundant number, since it is smaller than the sum of its proper divisors (1598812387200).

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

479023372800 is an frugal number, since it uses more digits than its factorization.

479023372800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 479023372800 in words is "four hundred seventy-nine billion, twenty-three million, three hundred seventy-two thousand, eight hundred".