432988100 has 18 divisors (see below), whose sum is σ = 939584394. Its totient is φ = 173195200.

The previous prime is 432988069. The next prime is 432988117. The reversal of 432988100 is 1889234.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 144192064 + 288796036 = 12008^2 + 16994^2 .

It is a super-2 number, since 2×432988100² = 374957389483220000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2164841 + ... + 2165040.

It is an arithmetic number, because the mean of its divisors is an integer number (52199133).

Almost surely, 2^432988100 is an apocalyptic number.

It is an amenable number.

432988100 is an abundant number, since it is smaller than the sum of its proper divisors (506596294).

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

432988100 is a wasteful number, since it uses less digits than its factorization.

432988100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4329895 (or 4329888 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 35.

The square root of 432988100 is about 20808.3661059681. The cubic root of 432988100 is about 756.5285466185.

It can be divided in two parts, 4329 and 88100, that added together give a palindrome (92429).

The spelling of 432988100 in words is "four hundred thirty-two million, nine hundred eighty-eight thousand, one hundred".