257461056 has 84 divisors (see below), whose sum is σ = 781405092. Its totient is φ = 80769024.

The previous prime is 257461051. The next prime is 257461067. The reversal of 257461056 is 650164752.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 236667456 + 20793600 = 15384^2 + 4560^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 257461056.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257461051) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3355 + ... + 22938.

Almost surely, 2^257461056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 257461056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390702546).

257461056 is an abundant number, since it is smaller than the sum of its proper divisors (523944036).

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

257461056 is a wasteful number, since it uses less digits than its factorization.

257461056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26328 (or 26315 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 257461056 is about 16045.5930398350. The cubic root of 257461056 is about 636.1660892914.

The spelling of 257461056 in words is "two hundred fifty-seven million, four hundred sixty-one thousand, fifty-six".