257393948 has 24 divisors (see below), whose sum is σ = 518848512. Its totient is φ = 109441584.

The previous prime is 257393947. The next prime is 257393977. The reversal of 257393948 is 849393752.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 257393896 and 257393905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257393947) 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, 32636 + ... + 39747.

It is an arithmetic number, because the mean of its divisors is an integer number (21618688).

Almost surely, 2^257393948 is an apocalyptic number.

257393948 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

257393948 is an abundant number, since it is smaller than the sum of its proper divisors (261454564).

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

257393948 is a wasteful number, since it uses less digits than its factorization.

257393948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72521 (or 72519 counting only the distinct ones).

The product of its digits is 1632960, while the sum is 50.

The square root of 257393948 is about 16043.5017374637. The cubic root of 257393948 is about 636.1108116190.

The spelling of 257393948 in words is "two hundred fifty-seven million, three hundred ninety-three thousand, nine hundred forty-eight".