412037568 has 168 divisors, whose sum is σ = 1294516080. Its totient is φ = 124723200.

The previous prime is 412037557. The next prime is 412037573. The reversal of 412037568 is 865730214.

412037568 is a `hidden beast` number, since 41 + 20 + 37 + 568 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 283243 + ... + 284693.

Almost surely, 2^412037568 is an apocalyptic number.

412037568 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 412037568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (647258040).

412037568 is an abundant number, since it is smaller than the sum of its proper divisors (882478512).

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

412037568 is a wasteful number, since it uses less digits than its factorization.

412037568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1515 (or 1502 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 412037568 is about 20298.7085303474. The cubic root of 412037568 is about 744.1245022307.

The spelling of 412037568 in words is "four hundred twelve million, thirty-seven thousand, five hundred sixty-eight".