432039960 has 256 divisors, whose sum is σ = 1611187200. Its totient is φ = 102067200.

The previous prime is 432039943. The next prime is 432039961. The reversal of 432039960 is 69930234.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (432039961) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 486637 + ... + 487523.

It is an arithmetic number, because the mean of its divisors is an integer number (6293700).

Almost surely, 2^432039960 is an apocalyptic number.

432039960 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 432039960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (805593600).

432039960 is an abundant number, since it is smaller than the sum of its proper divisors (1179147240).

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

432039960 is a wasteful number, since it uses less digits than its factorization.

432039960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 959 (or 949 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The square root of 432039960 is about 20785.5709567960. The cubic root of 432039960 is about 755.9759377577.

The spelling of 432039960 in words is "four hundred thirty-two million, thirty-nine thousand, nine hundred sixty".