254916480 has 256 divisors, whose sum is σ = 1000742400. Its totient is φ = 53747712.

The previous prime is 254916461. The next prime is 254916517. The reversal of 254916480 is 84619452.

254916480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 173991 + ... + 175449.

It is an arithmetic number, because the mean of its divisors is an integer number (3909150).

Almost surely, 2^254916480 is an apocalyptic number.

254916480 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 254916480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500371200).

254916480 is an abundant number, since it is smaller than the sum of its proper divisors (745825920).

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

254916480 is a wasteful number, since it uses less digits than its factorization.

254916480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1501 (or 1489 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 254916480 is about 15966.1040958651. The cubic root of 254916480 is about 634.0633306226.

The spelling of 254916480 in words is "two hundred fifty-four million, nine hundred sixteen thousand, four hundred eighty".