252805410 has 144 divisors (see below), whose sum is σ = 776962368. Its totient is φ = 56534400.

The previous prime is 252805367. The next prime is 252805439. The reversal of 252805410 is 14508252.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 166555 + ... + 168065.

It is an arithmetic number, because the mean of its divisors is an integer number (5395572).

Almost surely, 2^252805410 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252805410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388481184).

252805410 is an abundant number, since it is smaller than the sum of its proper divisors (524156958).

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

252805410 is a wasteful number, since it uses less digits than its factorization.

252805410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1561 (or 1545 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 252805410 is about 15899.8556597222. The cubic root of 252805410 is about 632.3081620194.

The spelling of 252805410 in words is "two hundred fifty-two million, eight hundred five thousand, four hundred ten".