257164848 has 240 divisors, whose sum is σ = 833384160. Its totient is φ = 75644928.

The previous prime is 257164847. The next prime is 257164849. The reversal of 257164848 is 848461752.

It is an interprime number because it is at equal distance from previous prime (257164847) and next prime (257164849).

It is a super-2 number, since 2×257164848² = 132267518093726208, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (257164841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2651136 + ... + 2651232.

It is an arithmetic number, because the mean of its divisors is an integer number (3472434).

Almost surely, 2^257164848 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 257164848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416692080).

257164848 is an abundant number, since it is smaller than the sum of its proper divisors (576219312).

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

257164848 is a wasteful number, since it uses less digits than its factorization.

257164848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 138 counting only the distinct ones).

The product of its digits is 430080, while the sum is 45.

The square root of 257164848 is about 16036.3601855284. The cubic root of 257164848 is about 635.9220267528.

The spelling of 257164848 in words is "two hundred fifty-seven million, one hundred sixty-four thousand, eight hundred forty-eight".