480031920 has 140 divisors (see below), whose sum is σ = 1673549136. Its totient is φ = 127992960.

The previous prime is 480031883. The next prime is 480031927. The reversal of 480031920 is 29130084.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (480031927) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 54205 + ... + 62435.

Almost surely, 2^480031920 is an apocalyptic number.

480031920 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 480031920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (836774568).

480031920 is an abundant number, since it is smaller than the sum of its proper divisors (1193517216).

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

480031920 is an equidigital number, since it uses as much as digits as its factorization.

480031920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8262 (or 8241 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 480031920 is about 21909.6307590977. The cubic root of 480031920 is about 782.9908837623.

The spelling of 480031920 in words is "four hundred eighty million, thirty-one thousand, nine hundred twenty".