432679680 has 324 divisors, whose sum is σ = 1586986128. Its totient is φ = 108810240.

The previous prime is 432679661. The next prime is 432679691. The reversal of 432679680 is 86976234.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6094045 + ... + 6094115.

Almost surely, 2^432679680 is an apocalyptic number.

432679680 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 432679680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (793493064).

432679680 is an abundant number, since it is smaller than the sum of its proper divisors (1154306448).

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

432679680 is a wasteful number, since it uses less digits than its factorization.

432679680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 432679680 is about 20800.9538242841. The cubic root of 432679680 is about 756.3488773568.

The spelling of 432679680 in words is "four hundred thirty-two million, six hundred seventy-nine thousand, six hundred eighty".