404979840 has 96 divisors (see below), whose sum is σ = 1398465900. Its totient is φ = 107993088.

The previous prime is 404979823. The next prime is 404979881. The reversal of 404979840 is 48979404.

It can be written as a sum of positive squares in 2 ways, for example, as 378847296 + 26132544 = 19464^2 + 5112^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29395 + ... + 40914.

Almost surely, 2^404979840 is an apocalyptic number.

404979840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

404979840 is an abundant number, since it is smaller than the sum of its proper divisors (993486060).

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

404979840 is a wasteful number, since it uses less digits than its factorization.

404979840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70334 (or 70319 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 404979840 is about 20124.1109120378. The cubic root of 404979840 is about 739.8513458398.

The spelling of 404979840 in words is "four hundred four million, nine hundred seventy-nine thousand, eight hundred forty".