480033320 has 32 divisors (see below), whose sum is σ = 1163158920. Its totient is φ = 177242880.

The previous prime is 480033311. The next prime is 480033377. The reversal of 480033320 is 23330084.

It can be written as a sum of positive squares in 4 ways, for example, as 194490916 + 285542404 = 13946^2 + 16898^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 461051 + ... + 462090.

Almost surely, 2^480033320 is an apocalyptic number.

480033320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

480033320 is an abundant number, since it is smaller than the sum of its proper divisors (683125600).

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

480033320 is a wasteful number, since it uses less digits than its factorization.

480033320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 923165 (or 923161 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

The square root of 480033320 is about 21909.6627084946. The cubic root of 480033320 is about 782.9916449521.

The spelling of 480033320 in words is "four hundred eighty million, thirty-three thousand, three hundred twenty".