252410688 has 168 divisors, whose sum is σ = 769315200. Its totient is φ = 81139968.

The previous prime is 252410663. The next prime is 252410689. The reversal of 252410688 is 886014252.

252410688 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 a super-2 number, since 2×252410688² = 127422310833266688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252410689) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3195033 + ... + 3195111.

Almost surely, 2^252410688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252410688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384657600).

252410688 is an abundant number, since it is smaller than the sum of its proper divisors (516904512).

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

252410688 is an equidigital number, since it uses as much as digits as its factorization.

252410688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 252410688 is about 15887.4380565276. The cubic root of 252410688 is about 631.9789022493.

The spelling of 252410688 in words is "two hundred fifty-two million, four hundred ten thousand, six hundred eighty-eight".