252500384448 has 336 divisors, whose sum is σ = 792438157056. Its totient is φ = 76401377280.

The previous prime is 252500384431. The next prime is 252500384449. The reversal of 252500384448 is 844483005252.

252500384448 is a `hidden beast` number, since 2 + 525 + 0 + 0 + 3 + 84 + 4 + 48 = 666.

It is not an unprimeable number, because it can be changed into a prime (252500384449) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 331800388 + ... + 331801148.

It is an arithmetic number, because the mean of its divisors is an integer number (2358446896).

Almost surely, 2^252500384448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252500384448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396219078528).

252500384448 is an abundant number, since it is smaller than the sum of its proper divisors (539937772608).

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

252500384448 is a wasteful number, since it uses less digits than its factorization.

252500384448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1472 (or 1459 counting only the distinct ones).

The product of its (nonzero) digits is 1228800, while the sum is 45.

The spelling of 252500384448 in words is "two hundred fifty-two billion, five hundred million, three hundred eighty-four thousand, four hundred forty-eight".