252758000 has 80 divisors (see below), whose sum is σ = 666787680. Its totient is φ = 91904000.

The previous prime is 252757987. The next prime is 252758021. The reversal of 252758000 is 857252.

252758000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16256 + ... + 27744.

It is an arithmetic number, because the mean of its divisors is an integer number (8334846).

Almost surely, 2^252758000 is an apocalyptic number.

252758000 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 252758000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333393840).

252758000 is an abundant number, since it is smaller than the sum of its proper divisors (414029680).

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

252758000 is a wasteful number, since it uses less digits than its factorization.

252758000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11523 (or 11507 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 29.

The square root of 252758000 is about 15898.3646957792. The cubic root of 252758000 is about 632.2686327966.

The spelling of 252758000 in words is "two hundred fifty-two million, seven hundred fifty-eight thousand".