254401320 has 64 divisors (see below), whose sum is σ = 769259520. Its totient is φ = 67302144.

The previous prime is 254401319. The next prime is 254401331. The reversal of 254401320 is 23104452.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6894 + ... + 23586.

It is an arithmetic number, because the mean of its divisors is an integer number (12019680).

Almost surely, 2^254401320 is an apocalyptic number.

254401320 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 254401320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384629760).

254401320 is an abundant number, since it is smaller than the sum of its proper divisors (514858200).

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

254401320 is a wasteful number, since it uses less digits than its factorization.

254401320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16834 (or 16830 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 254401320 is about 15949.9630093615. The cubic root of 254401320 is about 633.6359169709.

Adding to 254401320 its reverse (23104452), we get a palindrome (277505772).

The spelling of 254401320 in words is "two hundred fifty-four million, four hundred one thousand, three hundred twenty".