432412992 has 140 divisors (see below), whose sum is σ = 1398519936. Its totient is φ = 131016960.

The previous prime is 432412991. The next prime is 432412993. The reversal of 432412992 is 299214234.

It is an interprime number because it is at equal distance from previous prime (432412991) and next prime (432412993).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 (432412991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 53233 + ... + 60815.

Almost surely, 2^432412992 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 432412992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (699259968).

432412992 is an abundant number, since it is smaller than the sum of its proper divisors (966106944).

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

432412992 is a wasteful number, since it uses less digits than its factorization.

432412992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7618 (or 7599 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 432412992 is about 20794.5423609177. The cubic root of 432412992 is about 756.1934501166.

The spelling of 432412992 in words is "four hundred thirty-two million, four hundred twelve thousand, nine hundred ninety-two".