257127948 has 288 divisors, whose sum is σ = 876395520. Its totient is φ = 61585920.

The previous prime is 257127943. The next prime is 257127953. The reversal of 257127948 is 849721752.

It is a happy number.

257127948 is a `hidden beast` number, since 2 + 571 + 2 + 79 + 4 + 8 = 666.

257127948 is digitally balanced in base 3 and base 9, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (257127943) and next prime (257127953).

It is a super-2 number, since 2×257127948² = 132229563285381408, which contains 22 as substring.

Its product of digits (282240) is a multiple of the sum of its prime divisors (192).

257127948 is strictly pandigital in base 9.

It is not an unprimeable number, because it can be changed into a prime (257127943) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2358918 + ... + 2359026.

It is an arithmetic number, because the mean of its divisors is an integer number (3043040).

Almost surely, 2^257127948 is an apocalyptic number.

257127948 is a gapful number since it is divisible by the number (28) 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 257127948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438197760).

257127948 is an abundant number, since it is smaller than the sum of its proper divisors (619267572).

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

257127948 is a wasteful number, since it uses less digits than its factorization.

257127948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 192 counting only the distinct ones).

The product of its digits is 282240, while the sum is 45.

The square root of 257127948 is about 16035.2096338027. The cubic root of 257127948 is about 635.8916096288.

The spelling of 257127948 in words is "two hundred fifty-seven million, one hundred twenty-seven thousand, nine hundred forty-eight".