254305040 has 160 divisors (see below), whose sum is σ = 694241280. Its totient is φ = 85606400.

The previous prime is 254305039. The next prime is 254305061. The reversal of 254305040 is 40503452.

It is a junction number, because it is equal to n+sod(n) for n = 254304997 and 254305015.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1331345 + ... + 1331535.

It is an arithmetic number, because the mean of its divisors is an integer number (4339008).

Almost surely, 2^254305040 is an apocalyptic number.

254305040 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 254305040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347120640).

254305040 is an abundant number, since it is smaller than the sum of its proper divisors (439936240).

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

254305040 is a wasteful number, since it uses less digits than its factorization.

254305040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 23.

The square root of 254305040 is about 15946.9445349258. The cubic root of 254305040 is about 633.5559722025. Note that the first 3 decimals are identical.

Adding to 254305040 its reverse (40503452), we get a palindrome (294808492).

The spelling of 254305040 in words is "two hundred fifty-four million, three hundred five thousand, forty".