257722016 has 48 divisors (see below), whose sum is σ = 519603840. Its totient is φ = 125798400.

The previous prime is 257722001. The next prime is 257722027. The reversal of 257722016 is 610227752.

It is a super-2 number, since 2×257722016² = 132841275062208512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 244691 + ... + 245741.

It is an arithmetic number, because the mean of its divisors is an integer number (10825080).

Almost surely, 2^257722016 is an apocalyptic number.

It is an amenable number.

257722016 is an abundant number, since it is smaller than the sum of its proper divisors (261881824).

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

257722016 is a wasteful number, since it uses less digits than its factorization.

257722016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1237 (or 1229 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 32.

The square root of 257722016 is about 16053.7228081215. The cubic root of 257722016 is about 636.3809539480.

Adding to 257722016 its reverse (610227752), we get a palindrome (867949768).

The spelling of 257722016 in words is "two hundred fifty-seven million, seven hundred twenty-two thousand, sixteen".