257989860 has 120 divisors (see below), whose sum is σ = 821088576. Its totient is φ = 67798080.

The previous prime is 257989859. The next prime is 257989867. The reversal of 257989860 is 68989752.

It is a happy number.

257989860 is a `hidden beast` number, since 2 + 579 + 8 + 9 + 8 + 60 = 666.

257989860 is digitally balanced in base 2, 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 (54).

It is a junction number, because it is equal to n+sod(n) for n = 257989797 and 257989806.

It is not an unprimeable number, because it can be changed into a prime (257989867) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 113899 + ... + 116141.

Almost surely, 2^257989860 is an apocalyptic number.

257989860 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 257989860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410544288).

257989860 is an abundant number, since it is smaller than the sum of its proper divisors (563098716).

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

257989860 is a wasteful number, since it uses less digits than its factorization.

257989860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2335 (or 2324 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The square root of 257989860 is about 16062.0627566947. The cubic root of 257989860 is about 636.6013358522.

The spelling of 257989860 in words is "two hundred fifty-seven million, nine hundred eighty-nine thousand, eight hundred sixty".