408678912 has 320 divisors, whose sum is σ = 1343485440. Its totient is φ = 122093568.

The previous prime is 408678901. The next prime is 408678913. The reversal of 408678912 is 219876804.

It is a super-2 number, since 2×408678912² = 334036906227007488, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (408678913) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8695273 + ... + 8695319.

It is an arithmetic number, because the mean of its divisors is an integer number (4198392).

Almost surely, 2^408678912 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 408678912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (671742720).

408678912 is an abundant number, since it is smaller than the sum of its proper divisors (934806528).

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

408678912 is a wasteful number, since it uses less digits than its factorization.

408678912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 408678912 is about 20215.8084676325. The cubic root of 408678912 is about 742.0971143562.

The spelling of 408678912 in words is "four hundred eight million, six hundred seventy-eight thousand, nine hundred twelve".