254010960 has 240 divisors, whose sum is σ = 986544000. Its totient is φ = 57369600.

The previous prime is 254010907. The next prime is 254010961. The reversal of 254010960 is 69010452.

254010960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (254010961) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 508791 + ... + 509289.

It is an arithmetic number, because the mean of its divisors is an integer number (4110600).

Almost surely, 2^254010960 is an apocalyptic number.

254010960 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 254010960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493272000).

254010960 is an abundant number, since it is smaller than the sum of its proper divisors (732533040).

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

254010960 is a wasteful number, since it uses less digits than its factorization.

254010960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 626 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 254010960 is about 15937.7212925813. The cubic root of 254010960 is about 633.3116619239.

The spelling of 254010960 in words is "two hundred fifty-four million, ten thousand, nine hundred sixty".