480096960 has 112 divisors (see below), whose sum is σ = 1742090496. Its totient is φ = 109734912.

The previous prime is 480096913. The next prime is 480097039. The reversal of 480096960 is 69690084.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29002 + ... + 42441.

Almost surely, 2^480096960 is an apocalyptic number.

480096960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

480096960 is an abundant number, since it is smaller than the sum of its proper divisors (1261993536).

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

480096960 is a wasteful number, since it uses less digits than its factorization.

480096960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71470 (or 71460 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The square root of 480096960 is about 21911.1149876039. The cubic root of 480096960 is about 783.0262449019.

The spelling of 480096960 in words is "four hundred eighty million, ninety-six thousand, nine hundred sixty".