404013792 has 192 divisors, whose sum is σ = 1320883200. Its totient is φ = 105283584.

The previous prime is 404013787. The next prime is 404013811. The reversal of 404013792 is 297310404.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 899584 + ... + 900032.

It is an arithmetic number, because the mean of its divisors is an integer number (6879600).

Almost surely, 2^404013792 is an apocalyptic number.

404013792 is a gapful number since it is divisible by the number (42) 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 404013792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660441600).

404013792 is an abundant number, since it is smaller than the sum of its proper divisors (916869408).

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

404013792 is a wasteful number, since it uses less digits than its factorization.

404013792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 585 (or 577 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 404013792 is about 20100.0943281369. The cubic root of 404013792 is about 739.2625914466.

The spelling of 404013792 in words is "four hundred four million, thirteen thousand, seven hundred ninety-two".