408934656 has 360 divisors, whose sum is σ = 1381551864. Its totient is φ = 119439360.

The previous prime is 408934649. The next prime is 408934657. The reversal of 408934656 is 656439804.

It can be written as a sum of positive squares in 4 ways, for example, as 8294400 + 400640256 = 2880^2 + 20016^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (408934657) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 9973996 + ... + 9974036.

Almost surely, 2^408934656 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 408934656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (690775932).

408934656 is an abundant number, since it is smaller than the sum of its proper divisors (972617208).

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

408934656 is a wasteful number, since it uses less digits than its factorization.

408934656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 408934656 is about 20222.1328251992. The cubic root of 408934656 is about 742.2518791395.

The spelling of 408934656 in words is "four hundred eight million, nine hundred thirty-four thousand, six hundred fifty-six".