257992416 has 288 divisors, whose sum is σ = 860461056. Its totient is φ = 72576000.

The previous prime is 257992387. The next prime is 257992417. The reversal of 257992416 is 614299752.

257992416 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257992417) 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 47 ways as a sum of consecutive naturals, for example, 3633661 + ... + 3633731.

It is an arithmetic number, because the mean of its divisors is an integer number (2987712).

Almost surely, 2^257992416 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 257992416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430230528).

257992416 is an abundant number, since it is smaller than the sum of its proper divisors (602468640).

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

257992416 is a wasteful number, since it uses less digits than its factorization.

257992416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 155 counting only the distinct ones).

The product of its digits is 272160, while the sum is 45.

The square root of 257992416 is about 16062.1423228659. The cubic root of 257992416 is about 636.6034381927.

The spelling of 257992416 in words is "two hundred fifty-seven million, nine hundred ninety-two thousand, four hundred sixteen".