252549000 has 192 divisors, whose sum is σ = 931582080. Its totient is φ = 61200000.

The previous prime is 252548999. The next prime is 252549041. The reversal of 252549000 is 945252.

252549000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 97725 + ... + 100275.

It is an arithmetic number, because the mean of its divisors is an integer number (4851990).

Almost surely, 2^252549000 is an apocalyptic number.

252549000 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 252549000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465791040).

252549000 is an abundant number, since it is smaller than the sum of its proper divisors (679033080).

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

252549000 is a wasteful number, since it uses less digits than its factorization.

252549000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2589 (or 2572 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 252549000 is about 15891.7903333765. The cubic root of 252549000 is about 632.0943150917.

The spelling of 252549000 in words is "two hundred fifty-two million, five hundred forty-nine thousand".