432978 has 48 divisors (see below), whose sum is σ = 1089216. Its totient is φ = 112320.

The previous prime is 432961. The next prime is 432979. The reversal of 432978 is 879234.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (432979) 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, 7068 + ... + 7128.

It is an arithmetic number, because the mean of its divisors is an integer number (22692).

2⁴³²⁹⁷⁸ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 432978, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544608).

432978 is an abundant number, since it is smaller than the sum of its proper divisors (656238).

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

432978 is a wasteful number, since it uses less digits than its factorization.

432978 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 86 counting only the distinct ones).

The product of its digits is 12096, while the sum is 33.

The square root of 432978 is about 658.0106382119. The cubic root of 432978 is about 75.6522664241.

The spelling of 432978 in words is "four hundred thirty-two thousand, nine hundred seventy-eight".