252468216 has 384 divisors, whose sum is σ = 956067840. Its totient is φ = 58060800.

The previous prime is 252468191. The next prime is 252468239. The reversal of 252468216 is 612864252.

It is a happy number.

252468216 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

Its product of digits (46080) is a multiple of the sum of its prime divisors (180).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2234176 + ... + 2234288.

It is an arithmetic number, because the mean of its divisors is an integer number (2489760).

Almost surely, 2^252468216 is an apocalyptic number.

252468216 is a gapful number since it is divisible by the number (26) 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 252468216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478033920).

252468216 is an abundant number, since it is smaller than the sum of its proper divisors (703599624).

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

252468216 is a wasteful number, since it uses less digits than its factorization.

252468216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 180 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 252468216 is about 15889.2484403763. The cubic root of 252468216 is about 632.0269109408.

The spelling of 252468216 in words is "two hundred fifty-two million, four hundred sixty-eight thousand, two hundred sixteen".