257944820 has 36 divisors (see below), whose sum is σ = 630124740. Its totient is φ = 88437888.

The previous prime is 257944811. The next prime is 257944829. The reversal of 257944820 is 28449752.

It is an interprime number because it is at equal distance from previous prime (257944811) and next prime (257944829).

It can be written as a sum of positive squares in 2 ways, for example, as 70090384 + 187854436 = 8372^2 + 13706^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257944829) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 130625 + ... + 132584.

It is an arithmetic number, because the mean of its divisors is an integer number (17503465).

Almost surely, 2^257944820 is an apocalyptic number.

257944820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

257944820 is an abundant number, since it is smaller than the sum of its proper divisors (372179920).

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

257944820 is a wasteful number, since it uses less digits than its factorization.

257944820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263232 (or 263223 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 41.

The square root of 257944820 is about 16060.6606339839. The cubic root of 257944820 is about 636.5642876353.

The spelling of 257944820 in words is "two hundred fifty-seven million, nine hundred forty-four thousand, eight hundred twenty".