432351240 has 128 divisors (see below), whose sum is σ = 1385303040. Its totient is φ = 107686656.

The previous prime is 432351173. The next prime is 432351277. The reversal of 432351240 is 42153234.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 432351240.

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, 116859 + ... + 120501.

It is an arithmetic number, because the mean of its divisors is an integer number (10822680).

Almost surely, 2^432351240 is an apocalyptic number.

432351240 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 432351240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (692651520).

432351240 is an abundant number, since it is smaller than the sum of its proper divisors (952951800).

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

432351240 is a wasteful number, since it uses less digits than its factorization.

432351240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3723 (or 3719 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 432351240 is about 20793.0574952314. The cubic root of 432351240 is about 756.1574515983.

The spelling of 432351240 in words is "four hundred thirty-two million, three hundred fifty-one thousand, two hundred forty".