252045000 has 160 divisors (see below), whose sum is σ = 875344800. Its totient is φ = 67176000.

The previous prime is 252044993. The next prime is 252045011. The reversal of 252045000 is 540252.

252045000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 134067 + ... + 135933.

It is an arithmetic number, because the mean of its divisors is an integer number (5470905).

Almost surely, 2^252045000 is an apocalyptic number.

252045000 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 252045000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437672400).

252045000 is an abundant number, since it is smaller than the sum of its proper divisors (623299800).

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

252045000 is a wasteful number, since it uses less digits than its factorization.

252045000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1902 (or 1877 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 252045000 is about 15875.9251698917. The cubic root of 252045000 is about 631.6735549065.

Adding to 252045000 its reverse (540252), we get a palindrome (252585252).

The spelling of 252045000 in words is "two hundred fifty-two million, forty-five thousand".