254904320 has 192 divisors, whose sum is σ = 698181120. Its totient is φ = 88473600.

The previous prime is 254904317. The next prime is 254904329. The reversal of 254904320 is 23409452.

It is not an unprimeable number, because it can be changed into a prime (254904329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3491804 + ... + 3491876.

It is an arithmetic number, because the mean of its divisors is an integer number (3636360).

Almost surely, 2^254904320 is an apocalyptic number.

254904320 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 254904320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349090560).

254904320 is an abundant number, since it is smaller than the sum of its proper divisors (443276800).

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

254904320 is a wasteful number, since it uses less digits than its factorization.

254904320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 29.

The square root of 254904320 is about 15965.7232845869. The cubic root of 254904320 is about 634.0532484542.

The spelling of 254904320 in words is "two hundred fifty-four million, nine hundred four thousand, three hundred twenty".