257284608 has 80 divisors (see below), whose sum is σ = 783372480. Its totient is φ = 73506816.

The previous prime is 257284591. The next prime is 257284619. The reversal of 257284608 is 806482752.

It is a happy number.

257284608 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 257284608.

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 7 ways as a sum of consecutive naturals, for example, 1213 + ... + 22716.

It is an arithmetic number, because the mean of its divisors is an integer number (9792156).

Almost surely, 2^257284608 is an apocalyptic number.

257284608 is a gapful number since it is divisible by the number (28) 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 257284608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391686240).

257284608 is an abundant number, since it is smaller than the sum of its proper divisors (526087872).

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

257284608 is an equidigital number, since it uses as much as digits as its factorization.

257284608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23957 (or 23941 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 42.

The square root of 257284608 is about 16040.0937653120. The cubic root of 257284608 is about 636.0207263528.

The spelling of 257284608 in words is "two hundred fifty-seven million, two hundred eighty-four thousand, six hundred eight".