412974408 has 128 divisors (see below), whose sum is σ = 1317381120. Its totient is φ = 104751360.

The previous prime is 412974379. The next prime is 412974439. The reversal of 412974408 is 804479214.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 76866 + ... + 82062.

It is an arithmetic number, because the mean of its divisors is an integer number (10292040).

Almost surely, 2^412974408 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 412974408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (658690560).

412974408 is an abundant number, since it is smaller than the sum of its proper divisors (904406712).

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

412974408 is a wasteful number, since it uses less digits than its factorization.

412974408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5267 (or 5263 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 412974408 is about 20321.7717731501. The cubic root of 412974408 is about 744.6880413941.

The spelling of 412974408 in words is "four hundred twelve million, nine hundred seventy-four thousand, four hundred eight".