257827840 has 88 divisors (see below), whose sum is σ = 635667192. Its totient is φ = 100270080.

The previous prime is 257827813. The next prime is 257827847. The reversal of 257827840 is 48728752.

It can be written as a sum of positive squares in 4 ways, for example, as 33547264 + 224280576 = 5792^2 + 14976^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257827847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 188760 + ... + 190120.

Almost surely, 2^257827840 is an apocalyptic number.

257827840 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 257827840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317833596).

257827840 is an abundant number, since it is smaller than the sum of its proper divisors (377839352).

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

257827840 is a wasteful number, since it uses less digits than its factorization.

257827840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1423 (or 1405 counting only the distinct ones).

The product of its (nonzero) digits is 250880, while the sum is 43.

The square root of 257827840 is about 16057.0184031781. The cubic root of 257827840 is about 636.4680441182.

The spelling of 257827840 in words is "two hundred fifty-seven million, eight hundred twenty-seven thousand, eight hundred forty".