432275760 has 240 divisors, whose sum is σ = 1671321600. Its totient is φ = 98081280.

The previous prime is 432275741. The next prime is 432275801. The reversal of 432275760 is 67572234.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 1002745 + ... + 1003175.

It is an arithmetic number, because the mean of its divisors is an integer number (6963840).

Almost surely, 2^432275760 is an apocalyptic number.

432275760 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 432275760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (835660800).

432275760 is an abundant number, since it is smaller than the sum of its proper divisors (1239045840).

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

432275760 is a wasteful number, since it uses less digits than its factorization.

432275760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 656 (or 647 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The square root of 432275760 is about 20791.2423871206. The cubic root of 432275760 is about 756.1134456445.

The spelling of 432275760 in words is "four hundred thirty-two million, two hundred seventy-five thousand, seven hundred sixty".