432472320 has 432 divisors, whose sum is σ = 1775434752. Its totient is φ = 95109120.

The previous prime is 432472297. The next prime is 432472343. The reversal of 432472320 is 23274234.

It is an interprime number because it is at equal distance from previous prime (432472297) and next prime (432472343).

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, 2499754 + ... + 2499926.

Almost surely, 2^432472320 is an apocalyptic number.

432472320 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 432472320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (887717376).

432472320 is an abundant number, since it is smaller than the sum of its proper divisors (1342962432).

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

432472320 is a wasteful number, since it uses less digits than its factorization.

432472320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 27.

The square root of 432472320 is about 20795.9688401382. The cubic root of 432472320 is about 756.2280323287.

The spelling of 432472320 in words is "four hundred thirty-two million, four hundred seventy-two thousand, three hundred twenty".