252244096 has 128 divisors (see below), whose sum is σ = 590934960. Its totient is φ = 106168320.

The previous prime is 252244093. The next prime is 252244099. The reversal of 252244096 is 690442252.

It is an interprime number because it is at equal distance from previous prime (252244093) and next prime (252244099).

It can be written as a sum of positive squares in 8 ways, for example, as 199826496 + 52417600 = 14136^2 + 7240^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (252244093) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1046536 + ... + 1046776.

Almost surely, 2^252244096 is an apocalyptic number.

252244096 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 252244096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295467480).

252244096 is an abundant number, since it is smaller than the sum of its proper divisors (338690864).

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

252244096 is a wasteful number, since it uses less digits than its factorization.

252244096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 34.

The square root of 252244096 is about 15882.1943068330. The cubic root of 252244096 is about 631.8398355020.

The spelling of 252244096 in words is "two hundred fifty-two million, two hundred forty-four thousand, ninety-six".