432761616 has 120 divisors (see below), whose sum is σ = 1435505344. Its totient is φ = 123638400.

The previous prime is 432761611. The next prime is 432761617. The reversal of 432761616 is 616167234.

It is a happy number.

432761616 is a `hidden beast` number, since 4 + 3 + 27 + 616 + 16 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is an alternating number because its digits alternate between even and odd.

It is not an unprimeable number, because it can be changed into a prime (432761611) 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, 19266 + ... + 35166.

Almost surely, 2^432761616 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 432761616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (717752672).

432761616 is an abundant number, since it is smaller than the sum of its proper divisors (1002743728).

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

432761616 is a wasteful number, since it uses less digits than its factorization.

432761616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15931 (or 15913 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 432761616 is about 20802.9232561196. The cubic root of 432761616 is about 756.3966172847.

The spelling of 432761616 in words is "four hundred thirty-two million, seven hundred sixty-one thousand, six hundred sixteen".