432319680 has 280 divisors, whose sum is σ = 1657423152. Its totient is φ = 106334208.

The previous prime is 432319637. The next prime is 432319681. The reversal of 432319680 is 86913234.

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

It is not an unprimeable number, because it can be changed into a prime (432319681) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 336319 + ... + 337601.

Almost surely, 2^432319680 is an apocalyptic number.

432319680 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 432319680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (828711576).

432319680 is an abundant number, since it is smaller than the sum of its proper divisors (1225103472).

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

432319680 is a wasteful number, since it uses less digits than its factorization.

432319680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1325 (or 1306 counting only the distinct ones).

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

The square root of 432319680 is about 20792.2985742318. The cubic root of 432319680 is about 756.1390522757.

The spelling of 432319680 in words is "four hundred thirty-two million, three hundred nineteen thousand, six hundred eighty".