432994824 has 96 divisors (see below), whose sum is σ = 1223164800. Its totient is φ = 138203520.

The previous prime is 432994817. The next prime is 432994841. The reversal of 432994824 is 428499234.

It is a happy number.

It is a super-2 number, since 2×432994824² = 374969035221581952, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 432994824.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 272737 + ... + 274319.

It is an arithmetic number, because the mean of its divisors is an integer number (12741300).

Almost surely, 2^432994824 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 432994824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (611582400).

432994824 is an abundant number, since it is smaller than the sum of its proper divisors (790169976).

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

432994824 is a wasteful number, since it uses less digits than its factorization.

432994824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1755 (or 1748 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 432994824 is about 20808.5276749702. The cubic root of 432994824 is about 756.5324627166.

The spelling of 432994824 in words is "four hundred thirty-two million, nine hundred ninety-four thousand, eight hundred twenty-four".