404412864 has 112 divisors (see below), whose sum is σ = 1182428928. Its totient is φ = 121335808.

The previous prime is 404412823. The next prime is 404412901. The reversal of 404412864 is 468214404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72379 + ... + 77765.

Almost surely, 2^404412864 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 404412864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (591214464).

404412864 is an abundant number, since it is smaller than the sum of its proper divisors (778016064).

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

404412864 is a wasteful number, since it uses less digits than its factorization.

404412864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5442 (or 5432 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 33.

The square root of 404412864 is about 20110.0189955156. The cubic root of 404412864 is about 739.5059180551.

The spelling of 404412864 in words is "four hundred four million, four hundred twelve thousand, eight hundred sixty-four".