257205000 has 160 divisors (see below), whose sum is σ = 865972800. Its totient is φ = 63264000.

The previous prime is 257204999. The next prime is 257205001. The reversal of 257205000 is 502752.

It is an interprime number because it is at equal distance from previous prime (257204999) and next prime (257205001).

It is not an unprimeable number, because it can be changed into a prime (257205001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 194341 + ... + 195659.

It is an arithmetic number, because the mean of its divisors is an integer number (5412330).

Almost surely, 2^257205000 is an apocalyptic number.

257205000 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 257205000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432986400).

257205000 is an abundant number, since it is smaller than the sum of its proper divisors (608767800).

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

257205000 is a wasteful number, since it uses less digits than its factorization.

257205000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1361 (or 1342 counting only the distinct ones).

The product of its (nonzero) digits is 700, while the sum is 21.

The square root of 257205000 is about 16037.6120416975. The cubic root of 257205000 is about 635.9551212350.

Adding to 257205000 its reverse (502752), we get a palindrome (257707752).

The spelling of 257205000 in words is "two hundred fifty-seven million, two hundred five thousand".