432439840 has 96 divisors (see below), whose sum is σ = 1175779584. Its totient is φ = 147225600.

The previous prime is 432439837. The next prime is 432439841. The reversal of 432439840 is 48934234.

It is a self number, because there is not a number n which added to its sum of digits gives 432439840.

It is not an unprimeable number, because it can be changed into a prime (432439841) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 167842 + ... + 170398.

It is an arithmetic number, because the mean of its divisors is an integer number (12247704).

Almost surely, 2^432439840 is an apocalyptic number.

432439840 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 432439840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (587889792).

432439840 is an abundant number, since it is smaller than the sum of its proper divisors (743339744).

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

432439840 is a wasteful number, since it uses less digits than its factorization.

432439840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2730 (or 2722 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 37.

The square root of 432439840 is about 20795.1879048976. The cubic root of 432439840 is about 756.2091001718.

The spelling of 432439840 in words is "four hundred thirty-two million, four hundred thirty-nine thousand, eight hundred forty".