456432 has 40 divisors (see below), whose sum is σ = 1215696. Its totient is φ = 147456.

The previous prime is 456427. The next prime is 456439. The reversal of 456432 is 234654.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a d-powerful number, because it can be written as 4³ + 5⁷ + 4⁸ + 6⁷ + 3 + 2¹⁵ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456439) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1648 + ... + 1904.

2⁴⁵⁶⁴³² 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 456432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (607848).

456432 is an abundant number, since it is smaller than the sum of its proper divisors (759264).

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

456432 is a wasteful number, since it uses less digits than its factorization.

456432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 299 counting only the distinct ones).

The product of its digits is 2880, while the sum is 24.

The square root of 456432 is about 675.5975133169. The cubic root of 456432 is about 76.9943212768.

It can be divided in two parts, 456 and 432, that added together give a palindrome (888).

The spelling of 456432 in words is "four hundred fifty-six thousand, four hundred thirty-two".