408978304 has 96 divisors (see below), whose sum is σ = 955472760. Its totient is φ = 173859840.

The previous prime is 408978293. The next prime is 408978307. The reversal of 408978304 is 403879804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (408978307) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1235419 + ... + 1235749.

Almost surely, 2^408978304 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 408978304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477736380).

408978304 is an abundant number, since it is smaller than the sum of its proper divisors (546494456).

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

408978304 is a wasteful number, since it uses less digits than its factorization.

408978304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 556 (or 537 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 43.

The square root of 408978304 is about 20223.2120099652. The cubic root of 408978304 is about 742.2782865023.

The spelling of 408978304 in words is "four hundred eight million, nine hundred seventy-eight thousand, three hundred four".