432106900 has 36 divisors (see below), whose sum is σ = 942161920. Its totient is φ = 172015200.

The previous prime is 432106889. The next prime is 432106903. The reversal of 432106900 is 9601234.

It is a super-2 number, since 2×432106900² = 373432746055220000, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (432106903) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10861 + ... + 31339.

Almost surely, 2^432106900 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 432106900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471080960).

432106900 is an abundant number, since it is smaller than the sum of its proper divisors (510055020).

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

432106900 is a wasteful number, since it uses less digits than its factorization.

432106900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20704 (or 20697 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

The square root of 432106900 is about 20787.1811460814. The cubic root of 432106900 is about 756.0149792204.

The spelling of 432106900 in words is "four hundred thirty-two million, one hundred six thousand, nine hundred".