412824864 has 24 divisors (see below), whose sum is σ = 1083665520. Its totient is φ = 137608256.

The previous prime is 412824847. The next prime is 412824887. The reversal of 412824864 is 468428214.

It is a tau number, because it is divible by the number of its divisors (24).

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

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2150034 + ... + 2150225.

It is an arithmetic number, because the mean of its divisors is an integer number (45152730).

Almost surely, 2^412824864 is an apocalyptic number.

It is an amenable number.

412824864 is an abundant number, since it is smaller than the sum of its proper divisors (670840656).

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

412824864 is a wasteful number, since it uses less digits than its factorization.

412824864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4300272 (or 4300264 counting only the distinct ones).

The product of its digits is 98304, while the sum is 39.

The square root of 412824864 is about 20318.0920364093. The cubic root of 412824864 is about 744.5981431089.

The spelling of 412824864 in words is "four hundred twelve million, eight hundred twenty-four thousand, eight hundred sixty-four".