257542200 has 192 divisors, whose sum is σ = 911772000. Its totient is φ = 66769920.

The previous prime is 257542199. The next prime is 257542253. The reversal of 257542200 is 2245752.

257542200 is digitally balanced in base 2, 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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 199156 + ... + 200444.

Almost surely, 2^257542200 is an apocalyptic number.

257542200 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 257542200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455886000).

257542200 is an abundant number, since it is smaller than the sum of its proper divisors (654229800).

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

257542200 is a wasteful number, since it uses less digits than its factorization.

257542200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1351 (or 1336 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 27.

The square root of 257542200 is about 16048.1213853834. The cubic root of 257542200 is about 636.2329157592.

Adding to 257542200 its reverse (2245752), we get a palindrome (259787952).

The spelling of 257542200 in words is "two hundred fifty-seven million, five hundred forty-two thousand, two hundred".