432240960 has 112 divisors (see below), whose sum is σ = 1388059200. Its totient is φ = 113946624.

The previous prime is 432240959. The next prime is 432240961. The reversal of 432240960 is 69042234.

It is an interprime number because it is at equal distance from previous prime (432240959) and next prime (432240961).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (432240961) by changing a digit.

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, 82911 + ... + 87969.

Almost surely, 2^432240960 is an apocalyptic number.

432240960 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 432240960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (694029600).

432240960 is an abundant number, since it is smaller than the sum of its proper divisors (955818240).

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

432240960 is a wasteful number, since it uses less digits than its factorization.

432240960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5168 (or 5158 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 432240960 is about 20790.4054794513. The cubic root of 432240960 is about 756.0931550056.

The spelling of 432240960 in words is "four hundred thirty-two million, two hundred forty thousand, nine hundred sixty".