432542208 has 160 divisors (see below), whose sum is σ = 1345449600. Its totient is φ = 123432960.

The previous prime is 432542183. The next prime is 432542213. The reversal of 432542208 is 802245234.

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, 526438 + ... + 527258.

It is an arithmetic number, because the mean of its divisors is an integer number (8409060).

Almost surely, 2^432542208 is an apocalyptic number.

432542208 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 432542208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (672724800).

432542208 is an abundant number, since it is smaller than the sum of its proper divisors (912907392).

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

432542208 is an frugal number, since it uses more digits than its factorization.

432542208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 863 (or 833 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

The square root of 432542208 is about 20797.6490979149. The cubic root of 432542208 is about 756.2687658936.

The spelling of 432542208 in words is "four hundred thirty-two million, five hundred forty-two thousand, two hundred eight".