254948960 has 144 divisors (see below), whose sum is σ = 723945600. Its totient is φ = 84510720.

The previous prime is 254948933. The next prime is 254948963. The reversal of 254948960 is 69849452.

It is a Smith number, since the sum of its digits (47) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (254948963) 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, 242516 + ... + 243564.

It is an arithmetic number, because the mean of its divisors is an integer number (5027400).

Almost surely, 2^254948960 is an apocalyptic number.

254948960 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 254948960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361972800).

254948960 is an abundant number, since it is smaller than the sum of its proper divisors (468996640).

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

254948960 is a wasteful number, since it uses less digits than its factorization.

254948960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1109 (or 1094 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 47.

The square root of 254948960 is about 15967.1212183036. The cubic root of 254948960 is about 634.0902590534.

The spelling of 254948960 in words is "two hundred fifty-four million, nine hundred forty-eight thousand, nine hundred sixty".