432826368 has 96 divisors (see below), whose sum is σ = 1242914400. Its totient is φ = 133152768.

The previous prime is 432826357. The next prime is 432826369. The reversal of 432826368 is 863628234.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is not an unprimeable number, because it can be changed into a prime (432826369) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 77163 + ... + 82581.

It is an arithmetic number, because the mean of its divisors is an integer number (12947025).

Almost surely, 2^432826368 is an apocalyptic number.

432826368 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 432826368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (621457200).

432826368 is an abundant number, since it is smaller than the sum of its proper divisors (810088032).

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

432826368 is a wasteful number, since it uses less digits than its factorization.

432826368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5457 (or 5437 counting only the distinct ones).

The product of its digits is 331776, while the sum is 42.

The square root of 432826368 is about 20804.4795176423. The cubic root of 432826368 is about 756.4343407097.

The spelling of 432826368 in words is "four hundred thirty-two million, eight hundred twenty-six thousand, three hundred sixty-eight".