252099000 has 128 divisors (see below), whose sum is σ = 874036800. Its totient is φ = 67219200.

The previous prime is 252098993. The next prime is 252099007. The reversal of 252099000 is 990252.

252099000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (252098993) and next prime (252099007).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252099007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22332 + ... + 31668.

Almost surely, 2^252099000 is an apocalyptic number.

252099000 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 252099000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437018400).

252099000 is an abundant number, since it is smaller than the sum of its proper divisors (621937800).

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

252099000 is a wasteful number, since it uses less digits than its factorization.

252099000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9367 (or 9347 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 252099000 is about 15877.6257670975. The cubic root of 252099000 is about 631.7186631692.

The spelling of 252099000 in words is "two hundred fifty-two million, ninety-nine thousand".