257193048 has 32 divisors (see below), whose sum is σ = 734837760. Its totient is φ = 73483680.

The previous prime is 257192993. The next prime is 257193049. The reversal of 257193048 is 840391752.

257193048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×257193048² = 132296527879060608, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 257192997 and 257193015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257193049) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 765288 + ... + 765623.

It is an arithmetic number, because the mean of its divisors is an integer number (22963680).

Almost surely, 2^257193048 is an apocalyptic number.

257193048 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

257193048 is an abundant number, since it is smaller than the sum of its proper divisors (477644712).

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

257193048 is a wasteful number, since it uses less digits than its factorization.

257193048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1530927 (or 1530923 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 257193048 is about 16037.2394133155. The cubic root of 257193048 is about 635.9452703983.

The spelling of 257193048 in words is "two hundred fifty-seven million, one hundred ninety-three thousand, forty-eight".