432825100 has 144 divisors (see below), whose sum is σ = 1055932416. Its totient is φ = 153216000.

The previous prime is 432825077. The next prime is 432825101. The reversal of 432825100 is 1528234.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (432825101) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 2266005 + ... + 2266195.

It is an arithmetic number, because the mean of its divisors is an integer number (7332864).

Almost surely, 2^432825100 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 432825100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (527966208).

432825100 is an abundant number, since it is smaller than the sum of its proper divisors (623107316).

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

432825100 is a wasteful number, since it uses less digits than its factorization.

432825100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 432825100 is about 20804.4490434138. The cubic root of 432825100 is about 756.4336020304.

The spelling of 432825100 in words is "four hundred thirty-two million, eight hundred twenty-five thousand, one hundred".