257008986 has 48 divisors (see below), whose sum is σ = 604140264. Its totient is φ = 78492672.

The previous prime is 257008981. The next prime is 257008987. The reversal of 257008986 is 689800752.

257008986 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 196868961 + 60140025 = 14031^2 + 7755^2 .

It is not an unprimeable number, because it can be changed into a prime (257008981) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28050 + ... + 36066.

Almost surely, 2^257008986 is an apocalyptic number.

257008986 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 257008986, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302070132).

257008986 is an abundant number, since it is smaller than the sum of its proper divisors (347131278).

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

257008986 is a wasteful number, since it uses less digits than its factorization.

257008986 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8175 (or 8172 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 257008986 is about 16031.4998050713. The cubic root of 257008986 is about 635.7935279701.

The spelling of 257008986 in words is "two hundred fifty-seven million, eight thousand, nine hundred eighty-six".