257083200 has 336 divisors, whose sum is σ = 1024249920. Its totient is φ = 62208000.

The previous prime is 257083199. The next prime is 257083207. The reversal of 257083200 is 2380752.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257083207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 474930 + ... + 475470.

Almost surely, 2^257083200 is an apocalyptic number.

257083200 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 257083200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512124960).

257083200 is an abundant number, since it is smaller than the sum of its proper divisors (767166720).

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

257083200 is a wasteful number, since it uses less digits than its factorization.

257083200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 583 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 257083200 is about 16033.8142686012. The cubic root of 257083200 is about 635.8547193973.

The spelling of 257083200 in words is "two hundred fifty-seven million, eighty-three thousand, two hundred".