432564252 has 48 divisors (see below), whose sum is σ = 1072219680. Its totient is φ = 135258112.

The previous prime is 432564233. The next prime is 432564257. The reversal of 432564252 is 252465234.

It is a happy number.

It is a super-2 number, since 2×432564252² = 374223664216639008, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (432564257) 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, 61324 + ... + 68012.

It is an arithmetic number, because the mean of its divisors is an integer number (22337910).

Almost surely, 2^432564252 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 432564252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536109840).

432564252 is an abundant number, since it is smaller than the sum of its proper divisors (639655428).

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

432564252 is a wasteful number, since it uses less digits than its factorization.

432564252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7030 (or 7028 counting only the distinct ones).

The product of its digits is 57600, while the sum is 33.

The square root of 432564252 is about 20798.1790549077. The cubic root of 432564252 is about 756.2816131219.

The spelling of 432564252 in words is "four hundred thirty-two million, five hundred sixty-four thousand, two hundred fifty-two".