252746208 has 432 divisors, whose sum is σ = 943605936. Its totient is φ = 63037440.

The previous prime is 252746203. The next prime is 252746209. The reversal of 252746208 is 802647252.

252746208 is a `hidden beast` number, since 2 + 5 + 27 + 4 + 620 + 8 = 666.

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 (252746203) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13302423 + ... + 13302441.

It is an arithmetic number, because the mean of its divisors is an integer number (2184273).

Almost surely, 2^252746208 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 252746208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471802968).

252746208 is an abundant number, since it is smaller than the sum of its proper divisors (690859728).

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

252746208 is a wasteful number, since it uses less digits than its factorization.

252746208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 252746208 is about 15897.9938357014. The cubic root of 252746208 is about 632.2588001666.

The spelling of 252746208 in words is "two hundred fifty-two million, seven hundred forty-six thousand, two hundred eight".