257000000 has 98 divisors (see below), whose sum is σ = 639952746. Its totient is φ = 102400000.

The previous prime is 256999993. The next prime is 257000011. The reversal of 257000000 is 752.

It can be written as a sum of positive squares in 7 ways, for example, as 234947584 + 22052416 = 15328^2 + 4696^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 999872 + ... + 1000128.

Almost surely, 2^257000000 is an apocalyptic number.

257000000 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 257000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319976373).

257000000 is an abundant number, since it is smaller than the sum of its proper divisors (382952746).

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

257000000 is an frugal number, since it uses more digits than its factorization.

257000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 70, while the sum is 14.

The square root of 257000000 is about 16031.2195418814. The cubic root of 257000000 is about 635.7861179734.

Adding to 257000000 its reverse (752), we get a palindrome (257000752).

The spelling of 257000000 in words is "two hundred fifty-seven million", and thus it is an aban number.