404595972 has 144 divisors (see below), whose sum is σ = 1174118400. Its totient is φ = 120800160.

The previous prime is 404595959. The next prime is 404595977. The reversal of 404595972 is 279595404.

404595972 is a `hidden beast` number, since 4 + 0 + 4 + 59 + 597 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (404595977) 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 47 ways as a sum of consecutive naturals, for example, 844429 + ... + 844907.

It is an arithmetic number, because the mean of its divisors is an integer number (8153600).

Almost surely, 2^404595972 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 404595972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (587059200).

404595972 is an abundant number, since it is smaller than the sum of its proper divisors (769522428).

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

404595972 is a wasteful number, since it uses less digits than its factorization.

404595972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 588 (or 574 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The square root of 404595972 is about 20114.5711363678. The cubic root of 404595972 is about 739.6175111243.

The spelling of 404595972 in words is "four hundred four million, five hundred ninety-five thousand, nine hundred seventy-two".