257445216 has 180 divisors, whose sum is σ = 881188308. Its totient is φ = 73519488.

The previous prime is 257445211. The next prime is 257445217. The reversal of 257445216 is 612544752.

It is a happy number.

257445216 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 (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257445211) by changing a digit.

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 29 ways as a sum of consecutive naturals, for example, 125995 + ... + 128021.

Almost surely, 2^257445216 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 257445216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440594154).

257445216 is an abundant number, since it is smaller than the sum of its proper divisors (623743092).

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

257445216 is a wasteful number, since it uses less digits than its factorization.

257445216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2063 (or 2039 counting only the distinct ones).

The product of its digits is 67200, while the sum is 36.

The square root of 257445216 is about 16045.0994387695. The cubic root of 257445216 is about 636.1530425576.

Adding to 257445216 its reverse (612544752), we get a palindrome (869989968).

The spelling of 257445216 in words is "two hundred fifty-seven million, four hundred forty-five thousand, two hundred sixteen".