432938520 has 384 divisors, whose sum is σ = 1716292800. Its totient is φ = 97977600.

The previous prime is 432938509. The next prime is 432938521. The reversal of 432938520 is 25839234.

432938520 is a `hidden beast` number, since 43 + 2 + 93 + 8 + 520 = 666.

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

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (432938521) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4286470 + ... + 4286570.

Almost surely, 2^432938520 is an apocalyptic number.

432938520 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 432938520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (858146400).

432938520 is an abundant number, since it is smaller than the sum of its proper divisors (1283354280).

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

432938520 is a wasteful number, since it uses less digits than its factorization.

432938520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 432938520 is about 20807.1747241186. The cubic root of 432938520 is about 756.4996696762.

It can be divided in two parts, 4329 and 38520, that added together give a square (42849 = 207²).

The spelling of 432938520 in words is "four hundred thirty-two million, nine hundred thirty-eight thousand, five hundred twenty".