480056545920 has 256 divisors, whose sum is σ = 1752971673600. Its totient is φ = 109464047616.

The previous prime is 480056545919. The next prime is 480056545939. The reversal of 480056545920 is 29545650084.

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

It is a self number, because there is not a number n which added to its sum of digits gives 480056545920.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5588737 + ... + 5673983.

It is an arithmetic number, because the mean of its divisors is an integer number (6847545600).

Almost surely, 2^480056545920 is an apocalyptic number.

480056545920 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 480056545920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (876485836800).

480056545920 is an abundant number, since it is smaller than the sum of its proper divisors (1272915127680).

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

480056545920 is a wasteful number, since it uses less digits than its factorization.

480056545920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85695 (or 85683 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 48.

The spelling of 480056545920 in words is "four hundred eighty billion, fifty-six million, five hundred forty-five thousand, nine hundred twenty".