432946080 has 384 divisors, whose sum is σ = 1761177600. Its totient is φ = 97293312.

The previous prime is 432946067. The next prime is 432946091. The reversal of 432946080 is 80649234.

It is a happy number.

432946080 is a `hidden beast` number, since 43 + 2 + 9 + 4 + 608 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3114651 + ... + 3114789.

It is an arithmetic number, because the mean of its divisors is an integer number (4586400).

Almost surely, 2^432946080 is an apocalyptic number.

432946080 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 432946080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (880588800).

432946080 is an abundant number, since it is smaller than the sum of its proper divisors (1328231520).

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

432946080 is a wasteful number, since it uses less digits than its factorization.

432946080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 432946080 is about 20807.3563914304. The cubic root of 432946080 is about 756.5040729990.

The spelling of 432946080 in words is "four hundred thirty-two million, nine hundred forty-six thousand, eighty".