432153520 has 80 divisors (see below), whose sum is σ = 1030514400. Its totient is φ = 168476672.

The previous prime is 432153443. The next prime is 432153529. The reversal of 432153520 is 25351234.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (432153529) 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, 962256 + ... + 962704.

It is an arithmetic number, because the mean of its divisors is an integer number (12881430).

Almost surely, 2^432153520 is an apocalyptic number.

432153520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 432153520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515257200).

432153520 is an abundant number, since it is smaller than the sum of its proper divisors (598360880).

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

432153520 is a wasteful number, since it uses less digits than its factorization.

432153520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 742 (or 736 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 25.

The square root of 432153520 is about 20788.3024800006. The cubic root of 432153520 is about 756.0421670535.

The spelling of 432153520 in words is "four hundred thirty-two million, one hundred fifty-three thousand, five hundred twenty".