431457 has 24 divisors (see below), whose sum is σ = 667584. Its totient is φ = 247104.

The previous prime is 431449. The next prime is 431479. The reversal of 431457 is 754134.

It is not a de Polignac number, because 431457 - 2³ = 431449 is a prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 431457.

It is not an unprimeable number, because it can be changed into a prime (431447) 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, 11643 + ... + 11679.

It is an arithmetic number, because the mean of its divisors is an integer number (27816).

2⁴³¹⁴⁵⁷ is an apocalyptic number.

It is an amenable number.

431457 is a deficient number, since it is larger than the sum of its proper divisors (236127).

431457 is a wasteful number, since it uses less digits than its factorization.

431457 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 76 counting only the distinct ones).

The product of its digits is 1680, while the sum is 24.

The square root of 431457 is about 656.8538650263. The cubic root of 431457 is about 75.5635766987.

It can be divided in two parts, 4314 and 57, that added together give a triangular number (4371 = T₉₃).

The spelling of 431457 in words is "four hundred thirty-one thousand, four hundred fifty-seven".