252189900 has 216 divisors, whose sum is σ = 855507744. Its totient is φ = 61900800.

The previous prime is 252189863. The next prime is 252189901. The reversal of 252189900 is 9981252.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (252189901) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 810745 + ... + 811055.

It is an arithmetic number, because the mean of its divisors is an integer number (3960684).

Almost surely, 2^252189900 is an apocalyptic number.

252189900 is a gapful number since it is divisible by the number (20) 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 252189900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427753872).

252189900 is an abundant number, since it is smaller than the sum of its proper divisors (603317844).

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

252189900 is a wasteful number, since it uses less digits than its factorization.

252189900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 252189900 is about 15880.4880277654. The cubic root of 252189900 is about 631.7945808657.

The spelling of 252189900 in words is "two hundred fifty-two million, one hundred eighty-nine thousand, nine hundred".