254501968 has 80 divisors (see below), whose sum is σ = 599961600. Its totient is φ = 102094848.

The previous prime is 254501963. The next prime is 254501977. The reversal of 254501968 is 869105452.

254501968 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×254501968³ (a number of 26 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 254501968.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (254501963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 664305 + ... + 664687.

It is an arithmetic number, because the mean of its divisors is an integer number (7499520).

Almost surely, 2^254501968 is an apocalyptic number.

254501968 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 254501968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299980800).

254501968 is an abundant number, since it is smaller than the sum of its proper divisors (345459632).

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

254501968 is a wasteful number, since it uses less digits than its factorization.

254501968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 764 (or 758 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 40.

The square root of 254501968 is about 15953.1178143960. The cubic root of 254501968 is about 633.7194670869.

The spelling of 254501968 in words is "two hundred fifty-four million, five hundred one thousand, nine hundred sixty-eight".