431900 has 36 divisors (see below), whose sum is σ = 1072848. Its totient is φ = 147840.

The previous prime is 431891. The next prime is 431903. The reversal of 431900 is 9134.

It is a super-2 number, since 2×431900² = 373075220000, which contains 22 as substring.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 431900.

It is not an unprimeable number, because it can be changed into a prime (431903) by changing a digit.

431900 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 392 + ... + 1008.

2⁴³¹⁹⁰⁰ 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 431900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536424).

431900 is an abundant number, since it is smaller than the sum of its proper divisors (640948).

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

431900 is a wasteful number, since it uses less digits than its factorization.

431900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 638 (or 631 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

The square root of 431900 is about 657.1909920259. The cubic root of 431900 is about 75.5894295757.

It can be divided in two parts, 431 and 900, that added together give a palindrome (1331).

The spelling of 431900 in words is "four hundred thirty-one thousand, nine hundred".