431904 has 48 divisors (see below), whose sum is σ = 1239840. Its totient is φ = 130560.

The previous prime is 431903. The next prime is 431911. The reversal of 431904 is 409134.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (431903) 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, 852 + ... + 1260.

It is an arithmetic number, because the mean of its divisors is an integer number (25830).

2⁴³¹⁹⁰⁴ is an apocalyptic number.

431904 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 431904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (619920).

431904 is an abundant number, since it is smaller than the sum of its proper divisors (807936).

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

431904 is a wasteful number, since it uses less digits than its factorization.

431904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 431904 is about 657.1940352742. The cubic root of 431904 is about 75.5896629297.

The spelling of 431904 in words is "four hundred thirty-one thousand, nine hundred four".