431936 has 28 divisors (see below), whose sum is σ = 909828. Its totient is φ = 202752.

The previous prime is 431933. The next prime is 431947. The reversal of 431936 is 639134.

It can be written as a sum of positive squares in 2 ways, for example, as 313600 + 118336 = 560^2 + 344^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (431933) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 890 + ... + 1286.

2⁴³¹⁹³⁶ 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 431936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454914).

431936 is an abundant number, since it is smaller than the sum of its proper divisors (477892).

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

431936 is a wasteful number, since it uses less digits than its factorization.

431936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426 (or 416 counting only the distinct ones).

The product of its digits is 1944, while the sum is 26.

The square root of 431936 is about 657.2183807533. The cubic root of 431936 is about 75.5915297099.

The spelling of 431936 in words is "four hundred thirty-one thousand, nine hundred thirty-six".