432963840 has 144 divisors (see below), whose sum is σ = 1394563968. Its totient is φ = 114475008.

The previous prime is 432963829. The next prime is 432963851. The reversal of 432963840 is 48369234.

It is an interprime number because it is at equal distance from previous prime (432963829) and next prime (432963851).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 525669 + ... + 526491.

It is an arithmetic number, because the mean of its divisors is an integer number (9684472).

Almost surely, 2^432963840 is an apocalyptic number.

432963840 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 432963840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (697281984).

432963840 is an abundant number, since it is smaller than the sum of its proper divisors (961600128).

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

432963840 is a wasteful number, since it uses less digits than its factorization.

432963840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 984 (or 970 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 39.

The square root of 432963840 is about 20807.7831591931. The cubic root of 432963840 is about 756.5144171113.

The spelling of 432963840 in words is "four hundred thirty-two million, nine hundred sixty-three thousand, eight hundred forty".