257228160 has 128 divisors (see below), whose sum is σ = 937094400. Its totient is φ = 58791936.

The previous prime is 257228149. The next prime is 257228161. The reversal of 257228160 is 61822752.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257228161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3871 + ... + 23009.

It is an arithmetic number, because the mean of its divisors is an integer number (7321050).

Almost surely, 2^257228160 is an apocalyptic number.

257228160 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 257228160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468547200).

257228160 is an abundant number, since it is smaller than the sum of its proper divisors (679866240).

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

257228160 is a wasteful number, since it uses less digits than its factorization.

257228160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19168 (or 19156 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 257228160 is about 16038.3340780768. The cubic root of 257228160 is about 635.9742088351.

The spelling of 257228160 in words is "two hundred fifty-seven million, two hundred twenty-eight thousand, one hundred sixty".