412884864 has 160 divisors (see below), whose sum is σ = 1404519600. Its totient is φ = 117946368.

The previous prime is 412884863. The next prime is 412884907. The reversal of 412884864 is 468488214.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412884863) 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, 69732 + ... + 75420.

Almost surely, 2^412884864 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 412884864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (702259800).

412884864 is an abundant number, since it is smaller than the sum of its proper divisors (991634736).

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

412884864 is an equidigital number, since it uses as much as digits as its factorization.

412884864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5722 (or 5701 counting only the distinct ones).

The product of its digits is 393216, while the sum is 45.

The square root of 412884864 is about 20319.5684993555. The cubic root of 412884864 is about 744.6342146801.

The spelling of 412884864 in words is "four hundred twelve million, eight hundred eighty-four thousand, eight hundred sixty-four".