432065664 has 192 divisors, whose sum is σ = 1336608000. Its totient is φ = 138765312.

The previous prime is 432065663. The next prime is 432065701. The reversal of 432065664 is 466560234.

It is a tau number, because it is divible by the number of its divisors (192).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (432065663) 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, 901777 + ... + 902255.

It is an arithmetic number, because the mean of its divisors is an integer number (6961500).

Almost surely, 2^432065664 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 432065664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (668304000).

432065664 is an abundant number, since it is smaller than the sum of its proper divisors (904542336).

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

432065664 is an equidigital number, since it uses as much as digits as its factorization.

432065664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 537 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 432065664 is about 20786.1892611416. The cubic root of 432065664 is about 755.9909295964.

The spelling of 432065664 in words is "four hundred thirty-two million, sixty-five thousand, six hundred sixty-four".