432384840 has 96 divisors (see below), whose sum is σ = 1424587320. Its totient is φ = 113716224.

The previous prime is 432384839. The next prime is 432384853. The reversal of 432384840 is 48483234.

It can be written as a sum of positive squares in 4 ways, for example, as 418857156 + 13527684 = 20466^2 + 3678^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 432384795 and 432384804.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18054 + ... + 34506.

Almost surely, 2^432384840 is an apocalyptic number.

432384840 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 432384840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (712293660).

432384840 is an abundant number, since it is smaller than the sum of its proper divisors (992202480).

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

432384840 is a wasteful number, since it uses less digits than its factorization.

432384840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16543 (or 16536 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 432384840 is about 20793.8654415190. The cubic root of 432384840 is about 756.1770392467.

The spelling of 432384840 in words is "four hundred thirty-two million, three hundred eighty-four thousand, eight hundred forty".