432298944 has 504 divisors, whose sum is σ = 1690835328. Its totient is φ = 106375680.

The previous prime is 432298927. The next prime is 432298991. The reversal of 432298944 is 449892234.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (504).

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 432298944.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 22752567 + ... + 22752585.

It is an arithmetic number, because the mean of its divisors is an integer number (3354832).

Almost surely, 2^432298944 is an apocalyptic number.

432298944 is a gapful number since it is divisible by the number (44) 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 432298944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (845417664).

432298944 is an abundant number, since it is smaller than the sum of its proper divisors (1258536384).

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

432298944 is a wasteful number, since it uses less digits than its factorization.

432298944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 42 counting only the distinct ones).

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

The square root of 432298944 is about 20791.7999220847. The cubic root of 432298944 is about 756.1269628036.

The spelling of 432298944 in words is "four hundred thirty-two million, two hundred ninety-eight thousand, nine hundred forty-four".