254848768 has 72 divisors (see below), whose sum is σ = 556295040. Its totient is φ = 115998720.

The previous prime is 254848739. The next prime is 254848777. The reversal of 254848768 is 867848452.

It is a happy number.

It is a super-2 number, since 2×254848768² = 129895789102235648, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 133968 + ... + 135856.

It is an arithmetic number, because the mean of its divisors is an integer number (7726320).

Almost surely, 2^254848768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 254848768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278147520).

254848768 is an abundant number, since it is smaller than the sum of its proper divisors (301446272).

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

254848768 is a wasteful number, since it uses less digits than its factorization.

254848768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1953 (or 1939 counting only the distinct ones).

The product of its digits is 3440640, while the sum is 52.

The square root of 254848768 is about 15963.9834627827. The cubic root of 254848768 is about 634.0071847846.

The spelling of 254848768 in words is "two hundred fifty-four million, eight hundred forty-eight thousand, seven hundred sixty-eight".