480948800 has 42 divisors (see below), whose sum is σ = 1183438578. Its totient is φ = 192378880.

The previous prime is 480948799. The next prime is 480948821. The reversal of 480948800 is 8849084.

It can be written as a sum of positive squares in 3 ways, for example, as 158961664 + 321987136 = 12608^2 + 17944^2 .

It is a super-3 number, since 3×480948800³ (a number of 27 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 148697 + ... + 151896.

It is an arithmetic number, because the mean of its divisors is an integer number (28177109).

Almost surely, 2^480948800 is an apocalyptic number.

480948800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

480948800 is an abundant number, since it is smaller than the sum of its proper divisors (702489778).

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

480948800 is a wasteful number, since it uses less digits than its factorization.

480948800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300615 (or 300600 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 41.

The square root of 480948800 is about 21930.5449088708. The cubic root of 480948800 is about 783.4890812487.

The spelling of 480948800 in words is "four hundred eighty million, nine hundred forty-eight thousand, eight hundred".