432686760 has 128 divisors (see below), whose sum is σ = 1425461760. Its totient is φ = 104198400.

The previous prime is 432686759. The next prime is 432686783. The reversal of 432686760 is 67686234.

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 31 ways as a sum of consecutive naturals, for example, 214155 + ... + 216165.

It is an arithmetic number, because the mean of its divisors is an integer number (11136420).

Almost surely, 2^432686760 is an apocalyptic number.

432686760 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 432686760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (712730880).

432686760 is an abundant number, since it is smaller than the sum of its proper divisors (992775000).

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

432686760 is a wasteful number, since it uses less digits than its factorization.

432686760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2199 (or 2195 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 42.

The square root of 432686760 is about 20801.1240080915. The cubic root of 432686760 is about 756.3530027495.

The spelling of 432686760 in words is "four hundred thirty-two million, six hundred eighty-six thousand, seven hundred sixty".