252782208 has 288 divisors, whose sum is σ = 883328160. Its totient is φ = 70543872.

The previous prime is 252782171. The next prime is 252782219. The reversal of 252782208 is 802287252.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5878635 + ... + 5878677.

Almost surely, 2^252782208 is an apocalyptic number.

252782208 is a gapful number since it is divisible by the number (28) 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 252782208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441664080).

252782208 is an abundant number, since it is smaller than the sum of its proper divisors (630545952).

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

252782208 is an frugal number, since it uses more digits than its factorization.

252782208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 252782208 is about 15899.1260137153. The cubic root of 252782208 is about 632.2888174138.

The spelling of 252782208 in words is "two hundred fifty-two million, seven hundred eighty-two thousand, two hundred eight".