254583680 has 128 divisors (see below), whose sum is σ = 673958880. Its totient is φ = 91348992.

The previous prime is 254583677. The next prime is 254583781. The reversal of 254583680 is 86385452.

254583680 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

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, 307427 + ... + 308253.

Almost surely, 2^254583680 is an apocalyptic number.

254583680 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 254583680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336979440).

254583680 is an abundant number, since it is smaller than the sum of its proper divisors (419375200).

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

254583680 is a wasteful number, since it uses less digits than its factorization.

254583680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 896 (or 884 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 41.

The square root of 254583680 is about 15955.6786129578. The cubic root of 254583680 is about 633.7872818136.

The spelling of 254583680 in words is "two hundred fifty-four million, five hundred eighty-three thousand, six hundred eighty".