432114520 has 48 divisors (see below), whose sum is σ = 986604480. Its totient is φ = 170331840.

The previous prime is 432114509. The next prime is 432114541. The reversal of 432114520 is 25411234.

It is a junction number, because it is equal to n+sod(n) for n = 432114491 and 432114500.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 200569 + ... + 202711.

It is an arithmetic number, because the mean of its divisors is an integer number (20554260).

Almost surely, 2^432114520 is an apocalyptic number.

432114520 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 432114520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493302240).

432114520 is an abundant number, since it is smaller than the sum of its proper divisors (554489960).

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

432114520 is a wasteful number, since it uses less digits than its factorization.

432114520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2296 (or 2221 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 432114520 is about 20787.3644313078. The cubic root of 432114520 is about 756.0194231827.

Adding to 432114520 its reverse (25411234), we get a palindrome (457525754).

The spelling of 432114520 in words is "four hundred thirty-two million, one hundred fourteen thousand, five hundred twenty".