404970768 has 30 divisors (see below), whose sum is σ = 1133356094. Its totient is φ = 134990208.

The previous prime is 404970757. The next prime is 404970773. The reversal of 404970768 is 867079404.

It can be written as a sum of positive squares in only one way, i.e., 389193984 + 15776784 = 19728^2 + 3972^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 1406005 + ... + 1406292.

Almost surely, 2^404970768 is an apocalyptic number.

404970768 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

404970768 is an abundant number, since it is smaller than the sum of its proper divisors (728385326).

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

404970768 is a wasteful number, since it uses less digits than its factorization.

404970768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2812311 (or 2812302 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 404970768 is about 20123.8855095133. The cubic root of 404970768 is about 739.8458213001.

The spelling of 404970768 in words is "four hundred four million, nine hundred seventy thousand, seven hundred sixty-eight".