404492544 has 81 divisors (see below), whose sum is σ = 1169041783. Its totient is φ = 134509056.

The previous prime is 404492527. The next prime is 404492567. The reversal of 404492544 is 445294404.

It is a happy number.

The square root of 404492544 is 20112.

It is a perfect power (a square), and thus also a powerful number.

It is a super-2 number, since 2×404492544² = 327228436303183872, which contains 22 as substring.

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

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 404492499 and 404492508.

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 8 ways as a sum of consecutive naturals, for example, 965167 + ... + 965585.

Almost surely, 2^404492544 is an apocalyptic number.

404492544 is the 20112-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 404492544

404492544 is an abundant number, since it is smaller than the sum of its proper divisors (764549239).

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

404492544 is an frugal number, since it uses more digits than its factorization.

404492544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 860 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The cubic root of 404492544 is about 739.5544822555.

Multiplying 404492544 by its sum of digits (36), we get a square (14561731584 = 120672²).

404492544 divided by its sum of digits (36) gives a square (11235904 = 3352²).

The spelling of 404492544 in words is "four hundred four million, four hundred ninety-two thousand, five hundred forty-four".