432660240 has 240 divisors, whose sum is σ = 1516086000. Its totient is φ = 110481408.

The previous prime is 432660233. The next prime is 432660289. The reversal of 432660240 is 42066234.

It can be written as a sum of positive squares in 8 ways, for example, as 685584 + 431974656 = 828^2 + 20784^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2903686 + ... + 2903834.

It is an arithmetic number, because the mean of its divisors is an integer number (6317025).

Almost surely, 2^432660240 is an apocalyptic number.

432660240 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 432660240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (758043000).

432660240 is an abundant number, since it is smaller than the sum of its proper divisors (1083425760).

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

432660240 is a wasteful number, since it uses less digits than its factorization.

432660240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 432660240 is about 20800.4865327713. The cubic root of 432660240 is about 756.3375497758.

The spelling of 432660240 in words is "four hundred thirty-two million, six hundred sixty thousand, two hundred forty".