404431872 has 264 divisors, whose sum is σ = 1258659360. Its totient is φ = 115015680.

The previous prime is 404431871. The next prime is 404431901. The reversal of 404431872 is 278134404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404431871) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9864172 + ... + 9864212.

Almost surely, 2^404431872 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 404431872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (629329680).

404431872 is an abundant number, since it is smaller than the sum of its proper divisors (854227488).

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

404431872 is a wasteful number, since it uses less digits than its factorization.

404431872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 33.

The square root of 404431872 is about 20110.4915902123. The cubic root of 404431872 is about 739.5175038292.

The spelling of 404431872 in words is "four hundred four million, four hundred thirty-one thousand, eight hundred seventy-two".