254961056 has 48 divisors (see below), whose sum is σ = 575064000. Its totient is φ = 109002240.

The previous prime is 254961023. The next prime is 254961073. The reversal of 254961056 is 650169452.

It is an alternating number because its digits alternate between even and odd.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 110636 + ... + 112916.

It is an arithmetic number, because the mean of its divisors is an integer number (11980500).

Almost surely, 2^254961056 is an apocalyptic number.

It is a pronic number, being equal to 15967×15968.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 254961056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287532000).

254961056 is an abundant number, since it is smaller than the sum of its proper divisors (320102944).

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

254961056 is a wasteful number, since it uses less digits than its factorization.

254961056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2797 (or 2789 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 38.

The square root of 254961056 is about 15967.4999921716. The cubic root of 254961056 is about 634.1002869880.

The spelling of 254961056 in words is "two hundred fifty-four million, nine hundred sixty-one thousand, fifty-six".