432153260 has 144 divisors (see below), whose sum is σ = 1203164928. Its totient is φ = 126643200.

The previous prime is 432153251. The next prime is 432153287. The reversal of 432153260 is 62351234.

432153260 is nontrivially palindromic in base 13.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 444575 + ... + 445545.

It is an arithmetic number, because the mean of its divisors is an integer number (8355312).

Almost surely, 2^432153260 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 432153260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (601582464).

432153260 is an abundant number, since it is smaller than the sum of its proper divisors (771011668).

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

432153260 is a wasteful number, since it uses less digits than its factorization.

432153260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1032 (or 1013 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 26.

The square root of 432153260 is about 20788.2962264828. The cubic root of 432153260 is about 756.0420154322.

The spelling of 432153260 in words is "four hundred thirty-two million, one hundred fifty-three thousand, two hundred sixty".