257842116 has 180 divisors, whose sum is σ = 796603500. Its totient is φ = 72503424.

The previous prime is 257842093. The next prime is 257842133. The reversal of 257842116 is 611248752.

It can be written as a sum of positive squares in 2 ways, for example, as 99082116 + 158760000 = 9954^2 + 12600^2 .

It is a super-3 number, since 3×257842116³ (a number of 26 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 59 ways as a sum of consecutive naturals, for example, 1730410 + ... + 1730558.

It is an arithmetic number, because the mean of its divisors is an integer number (4425575).

Almost surely, 2^257842116 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 257842116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398301750).

257842116 is an abundant number, since it is smaller than the sum of its proper divisors (538761384).

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

257842116 is a wasteful number, since it uses less digits than its factorization.

257842116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 270 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 257842116 is about 16057.4629378367. The cubic root of 257842116 is about 636.4797910396.

The spelling of 257842116 in words is "two hundred fifty-seven million, eight hundred forty-two thousand, one hundred sixteen".