432114500 has 96 divisors (see below), whose sum is σ = 1034298720. Its totient is φ = 156979200.

The previous prime is 432114499. The next prime is 432114503. The reversal of 432114500 is 5411234.

It can be written as a sum of positive squares in 16 ways, for example, as 358875136 + 73239364 = 18944^2 + 8558^2 .

It is a super-2 number, since 2×432114500² = 373445882220500000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (432114503) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 245624 + ... + 247376.

It is an arithmetic number, because the mean of its divisors is an integer number (10773945).

Almost surely, 2^432114500 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 432114500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517149360).

432114500 is an abundant number, since it is smaller than the sum of its proper divisors (602184220).

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

432114500 is a wasteful number, since it uses less digits than its factorization.

432114500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1818 (or 1806 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 432114500 is about 20787.3639502463. The cubic root of 432114500 is about 756.0194115188.

Adding to 432114500 its reverse (5411234), we get a palindrome (437525734).

The spelling of 432114500 in words is "four hundred thirty-two million, one hundred fourteen thousand, five hundred".