252749442 has 128 divisors (see below), whose sum is σ = 606735360. Its totient is φ = 69431040.

The previous prime is 252749429. The next prime is 252749443. The reversal of 252749442 is 244947252.

It is a super-2 number, since 2×252749442² = 127764560862622728, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 252749442.

It is not an unprimeable number, because it can be changed into a prime (252749443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3045133 + ... + 3045215.

It is an arithmetic number, because the mean of its divisors is an integer number (4740120).

Almost surely, 2^252749442 is an apocalyptic number.

252749442 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 252749442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303367680).

252749442 is an abundant number, since it is smaller than the sum of its proper divisors (353985918).

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

252749442 is a wasteful number, since it uses less digits than its factorization.

252749442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208.

The product of its digits is 161280, while the sum is 39.

The square root of 252749442 is about 15898.0955463225. The cubic root of 252749442 is about 632.2614968325.

It can be divided in two parts, 25274 and 9442, that added together give a triangular number (34716 = T₂₆₃).

The spelling of 252749442 in words is "two hundred fifty-two million, seven hundred forty-nine thousand, four hundred forty-two".