257235000 has 160 divisors (see below), whose sum is σ = 877219200. Its totient is φ = 62320000.

The previous prime is 257234963. The next prime is 257235061. The reversal of 257235000 is 532752.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 39 ways as a sum of consecutive naturals, for example, 164221 + ... + 165779.

It is an arithmetic number, because the mean of its divisors is an integer number (5482620).

Almost surely, 2^257235000 is an apocalyptic number.

257235000 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 257235000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438609600).

257235000 is an abundant number, since it is smaller than the sum of its proper divisors (619984200).

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

257235000 is a wasteful number, since it uses less digits than its factorization.

257235000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1599 (or 1580 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 24.

The square root of 257235000 is about 16038.5473157640. The cubic root of 257235000 is about 635.9798458864.

Adding to 257235000 its reverse (532752), we get a palindrome (257767752).

The spelling of 257235000 in words is "two hundred fifty-seven million, two hundred thirty-five thousand".