252945000 has 480 divisors, whose sum is σ = 1081903680. Its totient is φ = 51840000.

The previous prime is 252944983. The next prime is 252945001. The reversal of 252945000 is 549252.

It is not an unprimeable number, because it can be changed into a prime (252945001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3464964 + ... + 3465036.

It is an arithmetic number, because the mean of its divisors is an integer number (2253966).

Almost surely, 2^252945000 is an apocalyptic number.

252945000 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 252945000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (540951840).

252945000 is an abundant number, since it is smaller than the sum of its proper divisors (828958680).

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

252945000 is a wasteful number, since it uses less digits than its factorization.

252945000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 101 counting only the distinct ones).

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

The square root of 252945000 is about 15904.2447164271. The cubic root of 252945000 is about 632.4245198351.

The spelling of 252945000 in words is "two hundred fifty-two million, nine hundred forty-five thousand".