432933696 has 336 divisors, whose sum is σ = 1497787200. Its totient is φ = 118112256.

The previous prime is 432933691. The next prime is 432933703. The reversal of 432933696 is 696339234.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (432933691) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2418535 + ... + 2418713.

It is an arithmetic number, because the mean of its divisors is an integer number (4457700).

Almost surely, 2^432933696 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 432933696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (748893600).

432933696 is an abundant number, since it is smaller than the sum of its proper divisors (1064853504).

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

432933696 is a wasteful number, since it uses less digits than its factorization.

432933696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 233 counting only the distinct ones).

The product of its digits is 629856, while the sum is 45.

The square root of 432933696 is about 20807.0588022431. The cubic root of 432933696 is about 756.4968599101.

It can be divided in two parts, 4329 and 33696, that added together give a square (38025 = 195²).

The spelling of 432933696 in words is "four hundred thirty-two million, nine hundred thirty-three thousand, six hundred ninety-six".