412397568 has 260 divisors, whose sum is σ = 1355839848. Its totient is φ = 123863040.

The previous prime is 412397561. The next prime is 412397569. The reversal of 412397568 is 865793214.

It is a super-3 number, since 3×412397568³ (a number of 27 digits) contains 333 as substring.

Its product of digits (362880) is a multiple of the sum of its prime factors (160).

It is not an unprimeable number, because it can be changed into a prime (412397561) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3649480 + ... + 3649592.

Almost surely, 2^412397568 is an apocalyptic number.

412397568 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 412397568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (677919924).

412397568 is an abundant number, since it is smaller than the sum of its proper divisors (943442280).

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

412397568 is a wasteful number, since it uses less digits than its factorization.

412397568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 129 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 412397568 is about 20307.5741535024. The cubic root of 412397568 is about 744.3411546768.

The spelling of 412397568 in words is "four hundred twelve million, three hundred ninety-seven thousand, five hundred sixty-eight".