480800408 has 32 divisors (see below), whose sum is σ = 995319360. Its totient is φ = 215909280.

The previous prime is 480800387. The next prime is 480800413. The reversal of 480800408 is 804008084.

It is a super-3 number, since 3×480800408³ (a number of 27 digits) contains 333 as substring.

It is a congruent number.

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, 25610 + ... + 40217.

It is an arithmetic number, because the mean of its divisors is an integer number (31103730).

Almost surely, 2^480800408 is an apocalyptic number.

It is an amenable number.

480800408 is an abundant number, since it is smaller than the sum of its proper divisors (514518952).

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

480800408 is a wasteful number, since it uses less digits than its factorization.

480800408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65927 (or 65923 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 32.

The square root of 480800408 is about 21927.1614213970. The cubic root of 480800408 is about 783.4084936885.

The spelling of 480800408 in words is "four hundred eighty million, eight hundred thousand, four hundred eight".