257850740 has 72 divisors (see below), whose sum is σ = 636037920. Its totient is φ = 87544128.

The previous prime is 257850737. The next prime is 257850779. The reversal of 257850740 is 47058752.

It is a junction number, because it is equal to n+sod(n) for n = 257850694 and 257850703.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 103631 + ... + 106089.

It is an arithmetic number, because the mean of its divisors is an integer number (8833860).

Almost surely, 2^257850740 is an apocalyptic number.

257850740 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 257850740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318018960).

257850740 is an abundant number, since it is smaller than the sum of its proper divisors (378187180).

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

257850740 is a wasteful number, since it uses less digits than its factorization.

257850740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2589 (or 2580 counting only the distinct ones).

The product of its (nonzero) digits is 78400, while the sum is 38.

The square root of 257850740 is about 16057.7314711637. The cubic root of 257850740 is about 636.4868870364.

The spelling of 257850740 in words is "two hundred fifty-seven million, eight hundred fifty thousand, seven hundred forty".