257790720 has 288 divisors, whose sum is σ = 953648640. Its totient is φ = 58654720.

The previous prime is 257790691. The next prime is 257790721. The reversal of 257790720 is 27097752.

257790720 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257790721) 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 31 ways as a sum of consecutive naturals, for example, 717901 + ... + 718259.

It is an arithmetic number, because the mean of its divisors is an integer number (3311280).

Almost surely, 2^257790720 is an apocalyptic number.

257790720 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 257790720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476824320).

257790720 is an abundant number, since it is smaller than the sum of its proper divisors (695857920).

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

257790720 is a wasteful number, since it uses less digits than its factorization.

257790720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 61740, while the sum is 39.

The square root of 257790720 is about 16055.8624807265. The cubic root of 257790720 is about 636.4374981181.

The spelling of 257790720 in words is "two hundred fifty-seven million, seven hundred ninety thousand, seven hundred twenty".