432736768 has 80 divisors (see below), whose sum is σ = 928065600. Its totient is φ = 200851456.

The previous prime is 432736757. The next prime is 432736807. The reversal of 432736768 is 867637234.

It is a super-2 number, since 2×432736768² = 374522220758171648, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 722133 + ... + 722731.

It is an arithmetic number, because the mean of its divisors is an integer number (11600820).

Almost surely, 2^432736768 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 432736768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464032800).

432736768 is an abundant number, since it is smaller than the sum of its proper divisors (495328832).

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

432736768 is an equidigital number, since it uses as much as digits as its factorization.

432736768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 717 (or 701 counting only the distinct ones).

The product of its digits is 1016064, while the sum is 46.

The square root of 432736768 is about 20802.3260237888. The cubic root of 432736768 is about 756.3821402592.

The spelling of 432736768 in words is "four hundred thirty-two million, seven hundred thirty-six thousand, seven hundred sixty-eight".