432991104 has 128 divisors (see below), whose sum is σ = 1415662080. Its totient is φ = 114186240.

The previous prime is 432991099. The next prime is 432991109. The reversal of 432991104 is 401199234.

It is an interprime number because it is at equal distance from previous prime (432991099) and next prime (432991109).

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×432991104² = 374962592286277632, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (432991109) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28749 + ... + 41139.

It is an arithmetic number, because the mean of its divisors is an integer number (11059860).

Almost surely, 2^432991104 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 432991104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (707831040).

432991104 is an abundant number, since it is smaller than the sum of its proper divisors (982670976).

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

432991104 is a wasteful number, since it uses less digits than its factorization.

432991104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12428 (or 12416 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 432991104 is about 20808.4382883483. The cubic root of 432991104 is about 756.5302961712.

The spelling of 432991104 in words is "four hundred thirty-two million, nine hundred ninety-one thousand, one hundred four".