257325120 has 448 divisors, whose sum is σ = 1024128000. Its totient is φ = 60383232.

The previous prime is 257325071. The next prime is 257325139. The reversal of 257325120 is 21523752.

257325120 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 (27).

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 63 ways as a sum of consecutive naturals, for example, 3257241 + ... + 3257319.

It is an arithmetic number, because the mean of its divisors is an integer number (2286000).

Almost surely, 2^257325120 is an apocalyptic number.

257325120 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 257325120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512064000).

257325120 is an abundant number, since it is smaller than the sum of its proper divisors (766802880).

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

257325120 is a wasteful number, since it uses less digits than its factorization.

257325120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 257325120 is about 16041.3565511150. The cubic root of 257325120 is about 636.0541071803.

Adding to 257325120 its reverse (21523752), we get a palindrome (278848872).

The spelling of 257325120 in words is "two hundred fifty-seven million, three hundred twenty-five thousand, one hundred twenty".