254515968 has 216 divisors, whose sum is σ = 860507648. Its totient is φ = 70834176.

The previous prime is 254515967. The next prime is 254515969. The reversal of 254515968 is 869515452.

254515968 is a `hidden beast` number, since 2 + 5 + 4 + 51 + 596 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (254515967) and next prime (254515969).

It is not an unprimeable number, because it can be changed into a prime (254515967) 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 23 ways as a sum of consecutive naturals, for example, 693321 + ... + 693687.

Almost surely, 2^254515968 is an apocalyptic number.

254515968 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 254515968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430253824).

254515968 is an abundant number, since it is smaller than the sum of its proper divisors (605991680).

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

254515968 is a wasteful number, since it uses less digits than its factorization.

254515968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439 (or 422 counting only the distinct ones).

The product of its digits is 432000, while the sum is 45.

The square root of 254515968 is about 15953.5565940639. The cubic root of 254515968 is about 633.7310870492.

The spelling of 254515968 in words is "two hundred fifty-four million, five hundred fifteen thousand, nine hundred sixty-eight".