432523520 has 288 divisors, whose sum is σ = 1298021760. Its totient is φ = 135659520.

The previous prime is 432523477. The next prime is 432523529. The reversal of 432523520 is 25325234.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 432523520.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (432523529) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3111611 + ... + 3111749.

It is an arithmetic number, because the mean of its divisors is an integer number (4507020).

Almost surely, 2^432523520 is an apocalyptic number.

432523520 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 432523520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (649010880).

432523520 is an abundant number, since it is smaller than the sum of its proper divisors (865498240).

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

432523520 is a wasteful number, since it uses less digits than its factorization.

432523520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 26.

The square root of 432523520 is about 20797.1998115131. The cubic root of 432523520 is about 756.2578741980.

Adding to 432523520 its reverse (25325234), we get a palindrome (457848754).

The spelling of 432523520 in words is "four hundred thirty-two million, five hundred twenty-three thousand, five hundred twenty".