404772 has 24 divisors (see below), whose sum is σ = 957600. Its totient is φ = 133056.

The previous prime is 404713. The next prime is 404773. The reversal of 404772 is 277404.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (404773) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 879 + ... + 1257.

It is an arithmetic number, because the mean of its divisors is an integer number (39900).

2⁴⁰⁴⁷⁷² is an apocalyptic number.

It is an amenable number.

404772 is an abundant number, since it is smaller than the sum of its proper divisors (552828).

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

404772 is a wasteful number, since it uses less digits than its factorization.

404772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 24.

The square root of 404772 is about 636.2169441315. The cubic root of 404772 is about 73.9724757632.

It can be divided in two parts, 404 and 772, that added together give a triangular number (1176 = T₄₈).

The spelling of 404772 in words is "four hundred four thousand, seven hundred seventy-two", and thus it is an iban number.