432643680 has 480 divisors, whose sum is σ = 1844156160. Its totient is φ = 93312000.

The previous prime is 432643643. The next prime is 432643681. The reversal of 432643680 is 86346234.

It is a happy number.

432643680 is a `hidden beast` number, since 4 + 3 + 2 + 643 + 6 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (432643681) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1723555 + ... + 1723805.

It is an arithmetic number, because the mean of its divisors is an integer number (3841992).

Almost surely, 2^432643680 is an apocalyptic number.

432643680 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 432643680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (922078080).

432643680 is an abundant number, since it is smaller than the sum of its proper divisors (1411512480).

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

432643680 is a wasteful number, since it uses less digits than its factorization.

432643680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 432643680 is about 20800.0884613504. The cubic root of 432643680 is about 756.3279000873.

The spelling of 432643680 in words is "four hundred thirty-two million, six hundred forty-three thousand, six hundred eighty".