432079488 has 256 divisors, whose sum is σ = 1364352000. Its totient is φ = 134369280.

The previous prime is 432079469. The next prime is 432079499. The reversal of 432079488 is 884970234.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3963978 + ... + 3964086.

It is an arithmetic number, because the mean of its divisors is an integer number (5329500).

Almost surely, 2^432079488 is an apocalyptic number.

432079488 is a gapful number since it is divisible by the number (48) 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 432079488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (682176000).

432079488 is an abundant number, since it is smaller than the sum of its proper divisors (932272512).

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

432079488 is a wasteful number, since it uses less digits than its factorization.

432079488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 432079488 is about 20786.5217869657. The cubic root of 432079488 is about 755.9989921881.

The spelling of 432079488 in words is "four hundred thirty-two million, seventy-nine thousand, four hundred eighty-eight".