252303744 has 384 divisors, whose sum is σ = 904193280. Its totient is φ = 61501440.

The previous prime is 252303739. The next prime is 252303769. The reversal of 252303744 is 447303252.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4760422 + ... + 4760474.

It is an arithmetic number, because the mean of its divisors is an integer number (2354670).

Almost surely, 2^252303744 is an apocalyptic number.

252303744 is a gapful number since it is divisible by the number (24) 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 252303744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452096640).

252303744 is an abundant number, since it is smaller than the sum of its proper divisors (651889536).

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

252303744 is a wasteful number, since it uses less digits than its factorization.

252303744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 30.

The square root of 252303744 is about 15884.0720219974. The cubic root of 252303744 is about 631.8896351641.

Adding to 252303744 its reverse (447303252), we get a palindrome (699606996).

The spelling of 252303744 in words is "two hundred fifty-two million, three hundred three thousand, seven hundred forty-four".