254842280 has 128 divisors (see below), whose sum is σ = 723098880. Its totient is φ = 78520320.

The previous prime is 254842271. The next prime is 254842297. The reversal of 254842280 is 82248452.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 254842280.

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 31 ways as a sum of consecutive naturals, for example, 298334 + ... + 299186.

It is an arithmetic number, because the mean of its divisors is an integer number (5649210).

Almost surely, 2^254842280 is an apocalyptic number.

254842280 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 254842280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361549440).

254842280 is an abundant number, since it is smaller than the sum of its proper divisors (468256600).

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

254842280 is a wasteful number, since it uses less digits than its factorization.

254842280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 979 (or 975 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 35.

The square root of 254842280 is about 15963.7802540626. The cubic root of 254842280 is about 634.0018045041.

The spelling of 254842280 in words is "two hundred fifty-four million, eight hundred forty-two thousand, two hundred eighty".