432890000 has 100 divisors (see below), whose sum is σ = 1064218716. Its totient is φ = 170496000.

The previous prime is 432889993. The next prime is 432890033. The reversal of 432890000 is 98234.

It can be written as a sum of positive squares in 10 ways, for example, as 297493504 + 135396496 = 17248^2 + 11636^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 729704 + ... + 730296.

Almost surely, 2^432890000 is an apocalyptic number.

432890000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 432890000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532109358).

432890000 is an abundant number, since it is smaller than the sum of its proper divisors (631328716).

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

432890000 is an equidigital number, since it uses as much as digits as its factorization.

432890000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 694 (or 673 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 432890000 is about 20806.0087474749. The cubic root of 432890000 is about 756.4714079765.

The spelling of 432890000 in words is "four hundred thirty-two million, eight hundred ninety thousand".