408947904 has 168 divisors, whose sum is σ = 1213603872. Its totient is φ = 131604480.

The previous prime is 408947863. The next prime is 408947923. The reversal of 408947904 is 409749804.

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 408947904.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3618952 + ... + 3619064.

Almost surely, 2^408947904 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 408947904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (606801936).

408947904 is an abundant number, since it is smaller than the sum of its proper divisors (804655968).

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

408947904 is a wasteful number, since it uses less digits than its factorization.

408947904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 408947904 is about 20222.4603844339. The cubic root of 408947904 is about 742.2598944761.

The spelling of 408947904 in words is "four hundred eight million, nine hundred forty-seven thousand, nine hundred four".