257483300 has 36 divisors (see below), whose sum is σ = 561432816. Its totient is φ = 102496800.

The previous prime is 257483287. The next prime is 257483323. The reversal of 257483300 is 3384752.

It is a happy number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 14999 + ... + 27201.

It is an arithmetic number, because the mean of its divisors is an integer number (15595356).

Almost surely, 2^257483300 is an apocalyptic number.

257483300 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 257483300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280716408).

257483300 is an abundant number, since it is smaller than the sum of its proper divisors (303949516).

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

257483300 is a wasteful number, since it uses less digits than its factorization.

257483300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12428 (or 12421 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 32.

The square root of 257483300 is about 16046.2861746885. The cubic root of 257483300 is about 636.1844098239.

The spelling of 257483300 in words is "two hundred fifty-seven million, four hundred eighty-three thousand, three hundred".