257200000 has 96 divisors (see below), whose sum is σ = 641443320. Its totient is φ = 102720000.

The previous prime is 257199991. The next prime is 257200001. The reversal of 257200000 is 2752.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257200001) 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 11 ways as a sum of consecutive naturals, for example, 399679 + ... + 400321.

Almost surely, 2^257200000 is an apocalyptic number.

257200000 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 257200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320721660).

257200000 is an abundant number, since it is smaller than the sum of its proper divisors (384243320).

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

257200000 is an frugal number, since it uses more digits than its factorization.

257200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 682 (or 650 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 16.

The square root of 257200000 is about 16037.4561573836. The cubic root of 257200000 is about 635.9510002728.

Adding to 257200000 its reverse (2752), we get a palindrome (257202752).

The spelling of 257200000 in words is "two hundred fifty-seven million, two hundred thousand".