432964 has 27 divisors (see below), whose sum is σ = 900543. Its totient is φ = 181608.

The previous prime is 432961. The next prime is 432979. The reversal of 432964 is 469234.

The square root of 432964 is 658.

It is a perfect power (a square), and thus also a powerful number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a nialpdrome in base 15.

It is a zygodrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (432961) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 9189 + ... + 9235.

432964 is a Friedman number, since it can be written as 329^(6-4)*4, using all its digits and the basic arithmetic operations.

2⁴³²⁹⁶⁴ is an apocalyptic number.

432964 is the 658-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 432964

432964 is an abundant number, since it is smaller than the sum of its proper divisors (467579).

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

432964 is a wasteful number, since it uses less digits than its factorization.

432964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 56 counting only the distinct ones).

The product of its digits is 5184, while the sum is 28.

The cubic root of 432964 is about 75.6514510300.

Multiplying 432964 by its product of digits (5184), we get a square (2244485376 = 47376²).

The spelling of 432964 in words is "four hundred thirty-two thousand, nine hundred sixty-four".