432107676 has 288 divisors, whose sum is σ = 1533692160. Its totient is φ = 103420800.

The previous prime is 432107639. The next prime is 432107701. The reversal of 432107676 is 676701234.

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

It is an alternating number because its digits alternate between even and odd.

It is a self number, because there is not a number n which added to its sum of digits gives 432107676.

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 95 ways as a sum of consecutive naturals, for example, 756471 + ... + 757041.

It is an arithmetic number, because the mean of its divisors is an integer number (5325320).

Almost surely, 2^432107676 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 432107676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (766846080).

432107676 is an abundant number, since it is smaller than the sum of its proper divisors (1101584484).

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

432107676 is a wasteful number, since it uses less digits than its factorization.

432107676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 622 (or 607 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 432107676 is about 20787.1998114224. The cubic root of 432107676 is about 756.0154317838.

The spelling of 432107676 in words is "four hundred thirty-two million, one hundred seven thousand, six hundred seventy-six".