432799280 has 80 divisors (see below), whose sum is σ = 1075806144. Its totient is φ = 161525760.

The previous prime is 432799259. The next prime is 432799307. The reversal of 432799280 is 82997234.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72572 + ... + 78308.

Almost surely, 2^432799280 is an apocalyptic number.

432799280 is a gapful number since it is divisible by the number (40) 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 432799280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537903072).

432799280 is an abundant number, since it is smaller than the sum of its proper divisors (643006864).

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

432799280 is a wasteful number, since it uses less digits than its factorization.

432799280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5814 (or 5808 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 44.

The square root of 432799280 is about 20803.8284938133. The cubic root of 432799280 is about 756.4185601548.

The spelling of 432799280 in words is "four hundred thirty-two million, seven hundred ninety-nine thousand, two hundred eighty".