264432 has 40 divisors (see below), whose sum is σ = 781696. Its totient is φ = 75456.

The previous prime is 264403. The next prime is 264437. The reversal of 264432 is 234462.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 264399 and 264408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264437) by changing a digit.

264432 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 58 + ... + 729.

2²⁶⁴⁴³² 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 264432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390848).

264432 is an abundant number, since it is smaller than the sum of its proper divisors (517264).

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

264432 is a wasteful number, since it uses less digits than its factorization.

264432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 805 (or 799 counting only the distinct ones).

The product of its digits is 1152, while the sum is 21.

The square root of 264432 is about 514.2295207395. The cubic root of 264432 is about 64.1856588147.

Adding to 264432 its reverse (234462), we get a palindrome (498894).

It can be divided in two parts, 264 and 432, that added together give a palindrome (696).

The spelling of 264432 in words is "two hundred sixty-four thousand, four hundred thirty-two".