432406560 has 192 divisors, whose sum is σ = 1518652800. Its totient is φ = 102776832.

The previous prime is 432406537. The next prime is 432406561. The reversal of 432406560 is 65604234.

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

It is not an unprimeable number, because it can be changed into a prime (432406561) 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, 153646 + ... + 156434.

It is an arithmetic number, because the mean of its divisors is an integer number (7909650).

Almost surely, 2^432406560 is an apocalyptic number.

432406560 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 432406560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (759326400).

432406560 is an abundant number, since it is smaller than the sum of its proper divisors (1086246240).

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

432406560 is a wasteful number, since it uses less digits than its factorization.

432406560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2843 (or 2835 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 432406560 is about 20794.3877043783. The cubic root of 432406560 is about 756.1897007223.

The spelling of 432406560 in words is "four hundred thirty-two million, four hundred six thousand, five hundred sixty".