257322240 has 216 divisors, whose sum is σ = 1017813888. Its totient is φ = 58798080.

The previous prime is 257322211. The next prime is 257322253. The reversal of 257322240 is 42223752.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79045 + ... + 82235.

Almost surely, 2^257322240 is an apocalyptic number.

257322240 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 257322240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508906944).

257322240 is an abundant number, since it is smaller than the sum of its proper divisors (760491648).

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

257322240 is a wasteful number, since it uses less digits than its factorization.

257322240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3225 (or 3208 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 257322240 is about 16041.2667828947. The cubic root of 257322240 is about 636.0517342514.

Adding to 257322240 its reverse (42223752), we get a palindrome (299545992).

It can be divided in two parts, 25732 and 2240, that added together give a palindrome (27972).

The spelling of 257322240 in words is "two hundred fifty-seven million, three hundred twenty-two thousand, two hundred forty".