252760000 has 140 divisors (see below), whose sum is σ = 642731760. Its totient is φ = 98560000.

The previous prime is 252759971. The next prime is 252760009. The reversal of 252760000 is 67252.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252760009) 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, 2839956 + ... + 2840044.

Almost surely, 2^252760000 is an apocalyptic number.

252760000 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 252760000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321365880).

252760000 is an abundant number, since it is smaller than the sum of its proper divisors (389971760).

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

252760000 is an frugal number, since it uses more digits than its factorization.

252760000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 167 counting only the distinct ones).

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

The square root of 252760000 is about 15898.4275952058. The cubic root of 252760000 is about 632.2703004444.

The spelling of 252760000 in words is "two hundred fifty-two million, seven hundred sixty thousand".