432012900 has 288 divisors, whose sum is σ = 1455906816. Its totient is φ = 97920000.

The previous prime is 432012829. The next prime is 432012901. The reversal of 432012900 is 9210234.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (432012901) 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, 4194249 + ... + 4194351.

It is an arithmetic number, because the mean of its divisors is an integer number (5055232).

Almost surely, 2^432012900 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 432012900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (727953408).

432012900 is an abundant number, since it is smaller than the sum of its proper divisors (1023893916).

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

432012900 is a wasteful number, since it uses less digits than its factorization.

432012900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 432012900 is about 20784.9200142796. The cubic root of 432012900 is about 755.9601543905.

The spelling of 432012900 in words is "four hundred thirty-two million, twelve thousand, nine hundred".