252670000 has 100 divisors (see below), whose sum is σ = 667642536. Its totient is φ = 91840000.

The previous prime is 252669971. The next prime is 252670007. The reversal of 252670000 is 76252.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252670007) 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 19 ways as a sum of consecutive naturals, for example, 108852 + ... + 111148.

Almost surely, 2^252670000 is an apocalyptic number.

252670000 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 252670000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333821268).

252670000 is an abundant number, since it is smaller than the sum of its proper divisors (414972536).

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

252670000 is a wasteful number, since it uses less digits than its factorization.

252670000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2336 (or 2315 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 22.

The square root of 252670000 is about 15895.5968746065. The cubic root of 252670000 is about 632.1952475848.

The spelling of 252670000 in words is "two hundred fifty-two million, six hundred seventy thousand".