257683680 has 240 divisors, whose sum is σ = 927566640. Its totient is φ = 67350528.

The previous prime is 257683667. The next prime is 257683733. The reversal of 257683680 is 86386752.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 764472 + ... + 764808.

It is an arithmetic number, because the mean of its divisors is an integer number (3864861).

Almost surely, 2^257683680 is an apocalyptic number.

257683680 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 257683680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463783320).

257683680 is an abundant number, since it is smaller than the sum of its proper divisors (669882960).

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

257683680 is a wasteful number, since it uses less digits than its factorization.

257683680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 257683680 is about 16052.5287727510. The cubic root of 257683680 is about 636.3493986178.

The spelling of 257683680 in words is "two hundred fifty-seven million, six hundred eighty-three thousand, six hundred eighty".