432504576 has 216 divisors, whose sum is σ = 1488972240. Its totient is φ = 123475968.

The previous prime is 432504571. The next prime is 432504587. The reversal of 432504576 is 675405234.

432504576 is a `hidden beast` number, since 4 + 32 + 50 + 4 + 576 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 432504576.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (432504571) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 338050 + ... + 339326.

It is an arithmetic number, because the mean of its divisors is an integer number (6893390).

Almost surely, 2^432504576 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 432504576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (744486120).

432504576 is an abundant number, since it is smaller than the sum of its proper divisors (1056467664).

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

432504576 is a wasteful number, since it uses less digits than its factorization.

432504576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1316 (or 1289 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The square root of 432504576 is about 20796.7443605964. The cubic root of 432504576 is about 756.2468329808.

The spelling of 432504576 in words is "four hundred thirty-two million, five hundred four thousand, five hundred seventy-six".