408460880 has 40 divisors (see below), whose sum is σ = 965251464. Its totient is φ = 160704000.

The previous prime is 408460873. The next prime is 408460907. The reversal of 408460880 is 88064804.

It can be written as a sum of positive squares in 4 ways, for example, as 47004736 + 361456144 = 6856^2 + 19012^2 .

It is a tau number, because it is divible by the number of its divisors (40).

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, 36971 + ... + 46730.

Almost surely, 2^408460880 is an apocalyptic number.

408460880 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

408460880 is an abundant number, since it is smaller than the sum of its proper divisors (556790584).

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

408460880 is a wasteful number, since it uses less digits than its factorization.

408460880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83775 (or 83769 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 38.

The square root of 408460880 is about 20210.4151367556. The cubic root of 408460880 is about 741.9651201870.

The spelling of 408460880 in words is "four hundred eight million, four hundred sixty thousand, eight hundred eighty".