408320640 has 768 divisors, whose sum is σ = 1871251200. Its totient is φ = 79626240.

The previous prime is 408320629. The next prime is 408320657. The reversal of 408320640 is 46023804.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9959020 + ... + 9959060.

It is an arithmetic number, because the mean of its divisors is an integer number (2436525).

Almost surely, 2^408320640 is an apocalyptic number.

408320640 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 408320640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (935625600).

408320640 is an abundant number, since it is smaller than the sum of its proper divisors (1462930560).

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

408320640 is a wasteful number, since it uses less digits than its factorization.

408320640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 408320640 is about 20206.9453406496. The cubic root of 408320640 is about 741.8801956126.

The spelling of 408320640 in words is "four hundred eight million, three hundred twenty thousand, six hundred forty".