404979759 has 12 divisors (see below), whose sum is σ = 589578496. Its totient is φ = 267859872.

The previous prime is 404979749. The next prime is 404979767. The reversal of 404979759 is 957979404.

404979759 = 2712² + 2713² + ... + 2765².

It is not a de Polignac number, because 404979759 - 2⁵ = 404979727 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404979739) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 176014 + ... + 178299.

Almost surely, 2^404979759 is an apocalyptic number.

404979759 is a deficient number, since it is larger than the sum of its proper divisors (184598737).

404979759 is a wasteful number, since it uses less digits than its factorization.

404979759 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354446 (or 354443 counting only the distinct ones).

The product of its (nonzero) digits is 2857680, while the sum is 54.

The square root of 404979759 is about 20124.1088995265. The cubic root of 404979759 is about 739.8512965139.

The spelling of 404979759 in words is "four hundred four million, nine hundred seventy-nine thousand, seven hundred fifty-nine".