257910240 has 192 divisors, whose sum is σ = 944939520. Its totient is φ = 57907200.

The previous prime is 257910229. The next prime is 257910277. The reversal of 257910240 is 42019752.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 257910198 and 257910207.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 197590 + ... + 198890.

It is an arithmetic number, because the mean of its divisors is an integer number (4921560).

Almost surely, 2^257910240 is an apocalyptic number.

257910240 is a gapful number since it is divisible by the number (20) 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 257910240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472469760).

257910240 is an abundant number, since it is smaller than the sum of its proper divisors (687029280).

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

257910240 is a wasteful number, since it uses less digits than its factorization.

257910240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1385 (or 1377 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 257910240 is about 16059.5840543895. The cubic root of 257910240 is about 636.5358404958.

Adding to 257910240 its reverse (42019752), we get a palindrome (299929992).

The spelling of 257910240 in words is "two hundred fifty-seven million, nine hundred ten thousand, two hundred forty".