254779056 has 240 divisors, whose sum is σ = 877443840. Its totient is φ = 67392000.

The previous prime is 254779009. The next prime is 254779067. The reversal of 254779056 is 650977452.

It is a super-2 number, since 2×254779056² = 129824734752502272, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1014931 + ... + 1015181.

It is an arithmetic number, because the mean of its divisors is an integer number (3656016).

Almost surely, 2^254779056 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 254779056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438721920).

254779056 is an abundant number, since it is smaller than the sum of its proper divisors (622664784).

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

254779056 is a wasteful number, since it uses less digits than its factorization.

254779056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The square root of 254779056 is about 15961.7998985077. The cubic root of 254779056 is about 633.9493701836.

The spelling of 254779056 in words is "two hundred fifty-four million, seven hundred seventy-nine thousand, fifty-six".