252507744 has 72 divisors (see below), whose sum is σ = 720326880. Its totient is φ = 83904768.

The previous prime is 252507733. The next prime is 252507793. The reversal of 252507744 is 447705252.

It is a happy number.

252507744 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a junction number, because it is equal to n+sod(n) for n = 252507699 and 252507708.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 104502 + ... + 106890.

It is an arithmetic number, because the mean of its divisors is an integer number (10004540).

Almost surely, 2^252507744 is an apocalyptic number.

252507744 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 252507744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360163440).

252507744 is an abundant number, since it is smaller than the sum of its proper divisors (467819136).

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

252507744 is a wasteful number, since it uses less digits than its factorization.

252507744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2772 (or 2761 counting only the distinct ones).

The product of its (nonzero) digits is 78400, while the sum is 36.

The square root of 252507744 is about 15890.4922516579. The cubic root of 252507744 is about 632.0598939125.

The spelling of 252507744 in words is "two hundred fifty-two million, five hundred seven thousand, seven hundred forty-four".