257600000 has 240 divisors, whose sum is σ = 767200896. Its totient is φ = 84480000.

The previous prime is 257599949. The next prime is 257600009. The reversal of 257600000 is 6752.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257600009) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11199989 + ... + 11200011.

Almost surely, 2^257600000 is an apocalyptic number.

257600000 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 257600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383600448).

257600000 is an abundant number, since it is smaller than the sum of its proper divisors (509600896).

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

257600000 is an frugal number, since it uses more digits than its factorization.

257600000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 37 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 20.

The square root of 257600000 is about 16049.9221181911. The cubic root of 257600000 is about 636.2805086221.

Adding to 257600000 its reverse (6752), we get a palindrome (257606752).

The spelling of 257600000 in words is "two hundred fifty-seven million, six hundred thousand".