254657280 has 288 divisors, whose sum is σ = 890072064. Its totient is φ = 61800448.

The previous prime is 254657279. The next prime is 254657287. The reversal of 254657280 is 82756452.

254657280 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (254657287) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3068119 + ... + 3068201.

It is an arithmetic number, because the mean of its divisors is an integer number (3090528).

Almost surely, 2^254657280 is an apocalyptic number.

254657280 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 254657280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445036032).

254657280 is an abundant number, since it is smaller than the sum of its proper divisors (635414784).

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

254657280 is a wasteful number, since it uses less digits than its factorization.

254657280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 39.

The square root of 254657280 is about 15957.9848351852. The cubic root of 254657280 is about 633.8483517788.

The spelling of 254657280 in words is "two hundred fifty-four million, six hundred fifty-seven thousand, two hundred eighty".