252726760 has 256 divisors, whose sum is σ = 744629760. Its totient is φ = 75694080.

The previous prime is 252726751. The next prime is 252726779. The reversal of 252726760 is 67627252.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 2236464 + ... + 2236576.

It is an arithmetic number, because the mean of its divisors is an integer number (2908710).

Almost surely, 2^252726760 is an apocalyptic number.

252726760 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 252726760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372314880).

252726760 is an abundant number, since it is smaller than the sum of its proper divisors (491903000).

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

252726760 is a wasteful number, since it uses less digits than its factorization.

252726760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 37.

The square root of 252726760 is about 15897.3821744336. The cubic root of 252726760 is about 632.2425829968.

The spelling of 252726760 in words is "two hundred fifty-two million, seven hundred twenty-six thousand, seven hundred sixty".