432254240 has 96 divisors (see below), whose sum is σ = 1179650304. Its totient is φ = 147927040.

The previous prime is 432254233. The next prime is 432254269. The reversal of 432254240 is 42452234.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22697 + ... + 37143.

It is an arithmetic number, because the mean of its divisors is an integer number (12288024).

Almost surely, 2^432254240 is an apocalyptic number.

432254240 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 432254240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (589825152).

432254240 is an abundant number, since it is smaller than the sum of its proper divisors (747396064).

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

432254240 is a wasteful number, since it uses less digits than its factorization.

432254240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14490 (or 14482 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 26.

The square root of 432254240 is about 20790.7248550886. The cubic root of 432254240 is about 756.1008982285.

The spelling of 432254240 in words is "four hundred thirty-two million, two hundred fifty-four thousand, two hundred forty".