257485820 has 12 divisors (see below), whose sum is σ = 540720264. Its totient is φ = 102994320.

The previous prime is 257485817. The next prime is 257485841. The reversal of 257485820 is 28584752.

It is a super-3 number, since 3×257485820³ (a number of 26 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6437126 + ... + 6437165.

It is an arithmetic number, because the mean of its divisors is an integer number (45060022).

Almost surely, 2^257485820 is an apocalyptic number.

257485820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

257485820 is an abundant number, since it is smaller than the sum of its proper divisors (283234444).

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

257485820 is a wasteful number, since it uses less digits than its factorization.

257485820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12874300 (or 12874298 counting only the distinct ones).

The product of its (nonzero) digits is 179200, while the sum is 41.

The square root of 257485820 is about 16046.3646973388. The cubic root of 257485820 is about 636.1864852718.

The spelling of 257485820 in words is "two hundred fifty-seven million, four hundred eighty-five thousand, eight hundred twenty".