254425680 has 120 divisors (see below), whose sum is σ = 882086400. Its totient is φ = 65652480.

The previous prime is 254425673. The next prime is 254425681. The reversal of 254425680 is 86524452.

It is a happy number.

254425680 is a `hidden beast` number, since 2 + 54 + 42 + 568 + 0 = 666.

254425680 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 (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (254425681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16621 + ... + 28019.

It is an arithmetic number, because the mean of its divisors is an integer number (7350720).

Almost surely, 2^254425680 is an apocalyptic number.

254425680 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 254425680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441043200).

254425680 is an abundant number, since it is smaller than the sum of its proper divisors (627660720).

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

254425680 is a wasteful number, since it uses less digits than its factorization.

254425680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11449 (or 11440 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 254425680 is about 15950.7266292166. The cubic root of 254425680 is about 633.6561407631.

It can be divided in two parts, 2544 and 25680, that added together give a square (28224 = 168²).

The spelling of 254425680 in words is "two hundred fifty-four million, four hundred twenty-five thousand, six hundred eighty".