432806880 has 96 divisors (see below), whose sum is σ = 1487299968. Its totient is φ = 104921600.

The previous prime is 432806867. The next prime is 432806887. The reversal of 432806880 is 88608234.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (432806887) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35706 + ... + 46265.

It is an arithmetic number, because the mean of its divisors is an integer number (15492708).

Almost surely, 2^432806880 is an apocalyptic number.

432806880 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

432806880 is an abundant number, since it is smaller than the sum of its proper divisors (1054493088).

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

432806880 is a wasteful number, since it uses less digits than its factorization.

432806880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82000 (or 81992 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The square root of 432806880 is about 20804.0111516986. The cubic root of 432806880 is about 756.4229877248.

The spelling of 432806880 in words is "four hundred thirty-two million, eight hundred six thousand, eight hundred eighty".