480256505472 has 32 divisors (see below), whose sum is σ = 1275681343680. Its totient is φ = 160085501696.

The previous prime is 480256505453. The next prime is 480256505501. The reversal of 480256505472 is 274505652084.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×480256505472² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 625333608 + ... + 625334375.

It is an arithmetic number, because the mean of its divisors is an integer number (39865041990).

Almost surely, 2^480256505472 is an apocalyptic number.

It is an amenable number.

480256505472 is an abundant number, since it is smaller than the sum of its proper divisors (795424838208).

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

480256505472 is a wasteful number, since it uses less digits than its factorization.

480256505472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1250668000 (or 1250667988 counting only the distinct ones).

The product of its (nonzero) digits is 2688000, while the sum is 48.

The spelling of 480256505472 in words is "four hundred eighty billion, two hundred fifty-six million, five hundred five thousand, four hundred seventy-two".