432521760 has 192 divisors, whose sum is σ = 1500799104. Its totient is φ = 104698880.

The previous prime is 432521759. The next prime is 432521767. The reversal of 432521760 is 67125234.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (432521767) 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, 638542 + ... + 639218.

It is an arithmetic number, because the mean of its divisors is an integer number (7816662).

Almost surely, 2^432521760 is an apocalyptic number.

432521760 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 432521760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (750399552).

432521760 is an abundant number, since it is smaller than the sum of its proper divisors (1068277344).

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

432521760 is a wasteful number, since it uses less digits than its factorization.

432521760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 728 (or 698 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 432521760 is about 20797.1574980813. The cubic root of 432521760 is about 756.2568484228.

Adding to 432521760 its reverse (67125234), we get a palindrome (499646994).

The spelling of 432521760 in words is "four hundred thirty-two million, five hundred twenty-one thousand, seven hundred sixty".