408886656 has 64 divisors (see below), whose sum is σ = 1111408320. Its totient is φ = 133120512.

The previous prime is 408886627. The next prime is 408886691. The reversal of 408886656 is 656688804.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 408886599 and 408886608.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 4131 + ... + 28893.

It is an arithmetic number, because the mean of its divisors is an integer number (17365755).

Almost surely, 2^408886656 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 408886656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (555704160).

408886656 is an abundant number, since it is smaller than the sum of its proper divisors (702521664).

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

408886656 is a wasteful number, since it uses less digits than its factorization.

408886656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24823 (or 24811 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 51.

The square root of 408886656 is about 20220.9459719371. The cubic root of 408886656 is about 742.2228366150. Note that the first 3 decimals are identical.

The spelling of 408886656 in words is "four hundred eight million, eight hundred eighty-six thousand, six hundred fifty-six".