252387000 has 192 divisors, whose sum is σ = 883396800. Its totient is φ = 64915200.

The previous prime is 252386983. The next prime is 252387011. The reversal of 252387000 is 783252.

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, 260517 + ... + 261483.

It is an arithmetic number, because the mean of its divisors is an integer number (4601025).

Almost surely, 2^252387000 is an apocalyptic number.

252387000 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 252387000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441698400).

252387000 is an abundant number, since it is smaller than the sum of its proper divisors (631009800).

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

252387000 is a wasteful number, since it uses less digits than its factorization.

252387000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1023 (or 1006 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 252387000 is about 15886.6925443907. The cubic root of 252387000 is about 631.9591318443.

It can be divided in two parts, 25 and 2387000, that added together give a square (2387025 = 1545²).

The spelling of 252387000 in words is "two hundred fifty-two million, three hundred eighty-seven thousand".