257245248 has 112 divisors (see below), whose sum is σ = 765023616. Its totient is φ = 75694080.

The previous prime is 257245217. The next prime is 257245267. The reversal of 257245248 is 842542752.

257245248 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55168 + ... + 59648.

It is an arithmetic number, because the mean of its divisors is an integer number (6830568).

Almost surely, 2^257245248 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 257245248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382511808).

257245248 is an abundant number, since it is smaller than the sum of its proper divisors (507778368).

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

257245248 is a wasteful number, since it uses less digits than its factorization.

257245248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4532 (or 4522 counting only the distinct ones).

The product of its digits is 179200, while the sum is 39.

The square root of 257245248 is about 16038.8667928878. The cubic root of 257245248 is about 635.9882913868.

The spelling of 257245248 in words is "two hundred fifty-seven million, two hundred forty-five thousand, two hundred forty-eight".