432957 has 16 divisors (see below), whose sum is σ = 673920. Its totient is φ = 242112.

The previous prime is 432931. The next prime is 432959. The reversal of 432957 is 759234.

432957 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 432957 - 2⁶ = 432893 is a prime.

432957 is strictly pandigital in base 7.

432957 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (432959) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 919 + ... + 1307.

It is an arithmetic number, because the mean of its divisors is an integer number (42120).

2⁴³²⁹⁵⁷ is an apocalyptic number.

It is an amenable number.

432957 is a deficient number, since it is larger than the sum of its proper divisors (240963).

432957 is a wasteful number, since it uses less digits than its factorization.

432957 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452.

The product of its digits is 7560, while the sum is 30.

The square root of 432957 is about 657.9946808296. The cubic root of 432957 is about 75.6510433264.

It can be divided in two parts, 4329 and 57, that multiplied together give a triangular number (246753 = T₇₀₂).

The spelling of 432957 in words is "four hundred thirty-two thousand, nine hundred fifty-seven".