252854910 has 288 divisors, whose sum is σ = 860461056. Its totient is φ = 50371200.

The previous prime is 252854909. The next prime is 252854911. The reversal of 252854910 is 19458252.

252854910 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (252854909) and next prime (252854911).

It is a super-2 number, since 2×252854910² = 127871211022216200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252854911) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2363077 + ... + 2363183.

It is an arithmetic number, because the mean of its divisors is an integer number (2987712).

Almost surely, 2^252854910 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252854910, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430230528).

252854910 is an abundant number, since it is smaller than the sum of its proper divisors (607606146).

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

252854910 is a wasteful number, since it uses less digits than its factorization.

252854910 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 252854910 is about 15901.4122014367. The cubic root of 252854910 is about 632.3494285564.

The spelling of 252854910 in words is "two hundred fifty-two million, eight hundred fifty-four thousand, nine hundred ten".