408412704 has 192 divisors, whose sum is σ = 1276563456. Its totient is φ = 111919104.

The previous prime is 408412673. The next prime is 408412721. The reversal of 408412704 is 407214804.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2116032 + ... + 2116224.

It is an arithmetic number, because the mean of its divisors is an integer number (6648768).

Almost surely, 2^408412704 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 408412704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (638281728).

408412704 is an abundant number, since it is smaller than the sum of its proper divisors (868150752).

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

408412704 is a wasteful number, since it uses less digits than its factorization.

408412704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 30.

The square root of 408412704 is about 20209.2232408868. The cubic root of 408412704 is about 741.9359486320.

The spelling of 408412704 in words is "four hundred eight million, four hundred twelve thousand, seven hundred four".