257803840 has 112 divisors (see below), whose sum is σ = 711915264. Its totient is φ = 87091200.

The previous prime is 257803831. The next prime is 257803937. The reversal of 257803840 is 48308752.

257803840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is a self number, because there is not a number n which added to its sum of digits gives 257803840.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 158230 + ... + 159850.

Almost surely, 2^257803840 is an apocalyptic number.

257803840 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 257803840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355957632).

257803840 is an abundant number, since it is smaller than the sum of its proper divisors (454111424).

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

257803840 is a wasteful number, since it uses less digits than its factorization.

257803840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1716 (or 1706 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 37.

The square root of 257803840 is about 16056.2710490325. The cubic root of 257803840 is about 636.4482948842.

The spelling of 257803840 in words is "two hundred fifty-seven million, eight hundred three thousand, eight hundred forty".