404508672 has 78 divisors (see below), whose sum is σ = 1168544442. Its totient is φ = 134823936.

The previous prime is 404508653. The next prime is 404508683. The reversal of 404508672 is 276805404.

It can be written as a sum of positive squares in only one way, i.e., 354041856 + 50466816 = 18816^2 + 7104^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 5 ways as a sum of consecutive naturals, for example, 31378 + ... + 42350.

It is an arithmetic number, because the mean of its divisors is an integer number (14981339).

Almost surely, 2^404508672 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 404508672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (584272221).

404508672 is an abundant number, since it is smaller than the sum of its proper divisors (764035770).

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

404508672 is a wasteful number, since it uses less digits than its factorization.

404508672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11003 (or 10978 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 404508672 is about 20112.4009506573. The cubic root of 404508672 is about 739.5643113417.

The spelling of 404508672 in words is "four hundred four million, five hundred eight thousand, six hundred seventy-two".