480438800 has 30 divisors (see below), whose sum is σ = 1154255178. Its totient is φ = 192175360.

The previous prime is 480438781. The next prime is 480438811. The reversal of 480438800 is 8834084.

It can be written as a sum of positive squares in 3 ways, for example, as 130599184 + 349839616 = 11428^2 + 18704^2 .

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, 600149 + ... + 600948.

Almost surely, 2^480438800 is an apocalyptic number.

480438800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

480438800 is an abundant number, since it is smaller than the sum of its proper divisors (673816378).

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

480438800 is a wasteful number, since it uses less digits than its factorization.

480438800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1201115 (or 1201104 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 35.

The square root of 480438800 is about 21918.9142066846. The cubic root of 480438800 is about 783.2120450006.

The spelling of 480438800 in words is "four hundred eighty million, four hundred thirty-eight thousand, eight hundred".