254268560 has 160 divisors (see below), whose sum is σ = 742452480. Its totient is φ = 78833664.

The previous prime is 254268533. The next prime is 254268577. The reversal of 254268560 is 65862452.

254268560 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 385511 + ... + 386169.

It is an arithmetic number, because the mean of its divisors is an integer number (4640328).

Almost surely, 2^254268560 is an apocalyptic number.

254268560 is a gapful number since it is divisible by the number (20) 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 254268560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371226240).

254268560 is an abundant number, since it is smaller than the sum of its proper divisors (488183920).

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

254268560 is a wasteful number, since it uses less digits than its factorization.

254268560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 745 (or 739 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 38.

The square root of 254268560 is about 15945.8007011250. The cubic root of 254268560 is about 633.5256762673.

The spelling of 254268560 in words is "two hundred fifty-four million, two hundred sixty-eight thousand, five hundred sixty".