432238080 has 160 divisors (see below), whose sum is σ = 1442479104. Its totient is φ = 110206976.

The previous prime is 432238043. The next prime is 432238091. The reversal of 432238080 is 80832234.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 175417 + ... + 177863.

Almost surely, 2^432238080 is an apocalyptic number.

432238080 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 432238080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (721239552).

432238080 is an abundant number, since it is smaller than the sum of its proper divisors (1010241024).

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

432238080 is a wasteful number, since it uses less digits than its factorization.

432238080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2496 (or 2480 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 432238080 is about 20790.3362166176. The cubic root of 432238080 is about 756.0914757315.

The spelling of 432238080 in words is "four hundred thirty-two million, two hundred thirty-eight thousand, eighty".