257285120 has 88 divisors (see below), whose sum is σ = 637484928. Its totient is φ = 99532800.

The previous prime is 257285101. The next prime is 257285141. The reversal of 257285120 is 21582752.

It is a happy number.

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

It is a congruent number.

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, 157910 + ... + 159530.

Almost surely, 2^257285120 is an apocalyptic number.

257285120 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 257285120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318742464).

257285120 is an abundant number, since it is smaller than the sum of its proper divisors (380199808).

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

257285120 is a wasteful number, since it uses less digits than its factorization.

257285120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1677 (or 1659 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 32.

The square root of 257285120 is about 16040.1097253105. The cubic root of 257285120 is about 636.0211482492.

The spelling of 257285120 in words is "two hundred fifty-seven million, two hundred eighty-five thousand, one hundred twenty".