480904452 has 60 divisors (see below), whose sum is σ = 1436783040. Its totient is φ = 137400624.

The previous prime is 480904439. The next prime is 480904453. The reversal of 480904452 is 254409084.

480904452 is a `hidden beast` number, since 480 + 90 + 44 + 52 = 666.

It is a super-3 number, since 3×480904452³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (480904453) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 103752 + ... + 108287.

It is an arithmetic number, because the mean of its divisors is an integer number (23946384).

Almost surely, 2^480904452 is an apocalyptic number.

480904452 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

480904452 is an abundant number, since it is smaller than the sum of its proper divisors (955878588).

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

480904452 is a wasteful number, since it uses less digits than its factorization.

480904452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212062 (or 212051 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 480904452 is about 21929.5337843740. The cubic root of 480904452 is about 783.4649988226.

The spelling of 480904452 in words is "four hundred eighty million, nine hundred four thousand, four hundred fifty-two".