432364120 has 64 divisors (see below), whose sum is σ = 1019977920. Its totient is φ = 164634624.

The previous prime is 432364117. The next prime is 432364123. The reversal of 432364120 is 21463234.

It is an interprime number because it is at equal distance from previous prime (432364117) and next prime (432364123).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (432364123) 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, 213352 + ... + 215368.

It is an arithmetic number, because the mean of its divisors is an integer number (15937155).

Almost surely, 2^432364120 is an apocalyptic number.

432364120 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 432364120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (509988960).

432364120 is an abundant number, since it is smaller than the sum of its proper divisors (587613800).

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

432364120 is a wasteful number, since it uses less digits than its factorization.

432364120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2284 (or 2280 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

The square root of 432364120 is about 20793.3672116856. The cubic root of 432364120 is about 756.1649603168.

The spelling of 432364120 in words is "four hundred thirty-two million, three hundred sixty-four thousand, one hundred twenty".