432533664 has 72 divisors (see below), whose sum is σ = 1236362400. Its totient is φ = 143434368.

The previous prime is 432533639. The next prime is 432533671. The reversal of 432533664 is 466335234.

432533664 is a `hidden beast` number, since 43 + 253 + 366 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 53539 + ... + 61085.

It is an arithmetic number, because the mean of its divisors is an integer number (17171700).

Almost surely, 2^432533664 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 432533664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (618181200).

432533664 is an abundant number, since it is smaller than the sum of its proper divisors (803828736).

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

432533664 is a wasteful number, since it uses less digits than its factorization.

432533664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7762 (or 7751 counting only the distinct ones).

The product of its digits is 155520, while the sum is 36.

The square root of 432533664 is about 20797.4436890691. The cubic root of 432533664 is about 756.2637863388.

Adding to 432533664 its reverse (466335234), we get a palindrome (898868898).

The spelling of 432533664 in words is "four hundred thirty-two million, five hundred thirty-three thousand, six hundred sixty-four".