480161408 has 64 divisors (see below), whose sum is σ = 978496200. Its totient is φ = 234651648.

The previous prime is 480161399. The next prime is 480161443. The reversal of 480161408 is 804161084.

It can be written as a sum of positive squares in 4 ways, for example, as 203005504 + 277155904 = 14248^2 + 16648^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 1287110 + ... + 1287482.

Almost surely, 2^480161408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 480161408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489248100).

480161408 is an abundant number, since it is smaller than the sum of its proper divisors (498334792).

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

480161408 is a wasteful number, since it uses less digits than its factorization.

480161408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 589 (or 577 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 32.

The square root of 480161408 is about 21912.5856073627. The cubic root of 480161408 is about 783.0612810312.

The spelling of 480161408 in words is "four hundred eighty million, one hundred sixty-one thousand, four hundred eight".