480506924160 has 192 divisors, whose sum is σ = 1712775317760. Its totient is φ = 124001740800.

The previous prime is 480506924143. The next prime is 480506924171. The reversal of 480506924160 is 61429605084.

480506924160 is a `hidden beast` number, since 4 + 80 + 506 + 9 + 2 + 4 + 1 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

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, 1166946 + ... + 1524065.

It is an arithmetic number, because the mean of its divisors is an integer number (8920704780).

Almost surely, 2^480506924160 is an apocalyptic number.

480506924160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

480506924160 is an abundant number, since it is smaller than the sum of its proper divisors (1232268393600).

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

480506924160 is a wasteful number, since it uses less digits than its factorization.

480506924160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2691067 (or 2691052 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 480506924160 in words is "four hundred eighty billion, five hundred six million, nine hundred twenty-four thousand, one hundred sixty".