432899376 has 320 divisors, whose sum is σ = 1493237760. Its totient is φ = 104924160.

The previous prime is 432899359. The next prime is 432899387. The reversal of 432899376 is 673998234.

Its product of digits (1959552) is a multiple of the sum of its prime factors (224).

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 63 ways as a sum of consecutive naturals, for example, 3114315 + ... + 3114453.

It is an arithmetic number, because the mean of its divisors is an integer number (4666368).

Almost surely, 2^432899376 is an apocalyptic number.

432899376 is a gapful number since it is divisible by the number (46) 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 432899376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (746618880).

432899376 is an abundant number, since it is smaller than the sum of its proper divisors (1060338384).

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

432899376 is a wasteful number, since it uses less digits than its factorization.

432899376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 218 counting only the distinct ones).

The product of its digits is 1959552, while the sum is 51.

The square root of 432899376 is about 20806.2340657794. The cubic root of 432899376 is about 756.4768694292.

The spelling of 432899376 in words is "four hundred thirty-two million, eight hundred ninety-nine thousand, three hundred seventy-six".