480364152800 has 72 divisors (see below), whose sum is σ = 1340216001936. Its totient is φ = 164696279040.

The previous prime is 480364152791. The next prime is 480364152811. The reversal of 480364152800 is 8251463084.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42884057 + ... + 42895256.

It is an arithmetic number, because the mean of its divisors is an integer number (18614111138).

Almost surely, 2^480364152800 is an apocalyptic number.

480364152800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

480364152800 is an abundant number, since it is smaller than the sum of its proper divisors (859851849136).

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

480364152800 is a wasteful number, since it uses less digits than its factorization.

480364152800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85779340 (or 85779327 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 41.

The spelling of 480364152800 in words is "four hundred eighty billion, three hundred sixty-four million, one hundred fifty-two thousand, eight hundred".