257441346 has 48 divisors (see below), whose sum is σ = 587298816. Its totient is φ = 81341568.

The previous prime is 257441293. The next prime is 257441347. The reversal of 257441346 is 643144752.

257441346 is a `hidden beast` number, since 2 + 574 + 41 + 3 + 46 = 666.

257441346 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 257441346.

It is not an unprimeable number, because it can be changed into a prime (257441347) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44031 + ... + 49533.

It is an arithmetic number, because the mean of its divisors is an integer number (12235392).

Almost surely, 2^257441346 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 257441346, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293649408).

257441346 is an abundant number, since it is smaller than the sum of its proper divisors (329857470).

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

257441346 is a wasteful number, since it uses less digits than its factorization.

257441346 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5647 (or 5644 counting only the distinct ones).

The product of its digits is 80640, while the sum is 36.

The square root of 257441346 is about 16044.9788407464. The cubic root of 257441346 is about 636.1498549220.

The spelling of 257441346 in words is "two hundred fifty-seven million, four hundred forty-one thousand, three hundred forty-six".