432098100 has 216 divisors, whose sum is σ = 1564774848. Its totient is φ = 97689600.

The previous prime is 432098077. The next prime is 432098111. The reversal of 432098100 is 1890234.

It is a super-2 number, since 2×432098100² = 373417536047220000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 673780 + ... + 674420.

It is an arithmetic number, because the mean of its divisors is an integer number (7244328).

Almost surely, 2^432098100 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 432098100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (782387424).

432098100 is an abundant number, since it is smaller than the sum of its proper divisors (1132676748).

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

432098100 is a wasteful number, since it uses less digits than its factorization.

432098100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 775 (or 765 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 432098100 is about 20786.9694760925. The cubic root of 432098100 is about 756.0098470205.

The spelling of 432098100 in words is "four hundred thirty-two million, ninety-eight thousand, one hundred".