249752448 has 96 divisors (see below), whose sum is σ = 784063800. Its totient is φ = 75678720.

The previous prime is 249752441. The next prime is 249752453. The reversal of 249752448 is 844257942.

249752448 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 (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (249752441) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2818 + ... + 22526.

Almost surely, 2^249752448 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 249752448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392031900).

249752448 is an abundant number, since it is smaller than the sum of its proper divisors (534311352).

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

249752448 is a wasteful number, since it uses less digits than its factorization.

249752448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19740 (or 19725 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The square root of 249752448 is about 15803.5580803818. The cubic root of 249752448 is about 629.7525256276.

It can be divided in two parts, 2497 and 52448, that added together give a palindrome (54945).

The spelling of 249752448 in words is "two hundred forty-nine million, seven hundred fifty-two thousand, four hundred forty-eight".