412152624 has 200 divisors, whose sum is σ = 1361162880. Its totient is φ = 119273472.

The previous prime is 412152613. The next prime is 412152647. The reversal of 412152624 is 426251214.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 285697 + ... + 287135.

Almost surely, 2^412152624 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 412152624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (680581440).

412152624 is an abundant number, since it is smaller than the sum of its proper divisors (949010256).

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

412152624 is a wasteful number, since it uses less digits than its factorization.

412152624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1489 (or 1474 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 412152624 is about 20301.5424044578. The cubic root of 412152624 is about 744.1937580685.

The spelling of 412152624 in words is "four hundred twelve million, one hundred fifty-two thousand, six hundred twenty-four".