254890080 has 72 divisors (see below), whose sum is σ = 869817312. Its totient is φ = 67970304.

The previous prime is 254890067. The next prime is 254890087. The reversal of 254890080 is 80098452.

It is a tau number, because it is divible by the number of its divisors (72).

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 (254890087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 87064 + ... + 89943.

It is an arithmetic number, because the mean of its divisors is an integer number (12080796).

Almost surely, 2^254890080 is an apocalyptic number.

254890080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

254890080 is an abundant number, since it is smaller than the sum of its proper divisors (614927232).

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

254890080 is a wasteful number, since it uses less digits than its factorization.

254890080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177028 (or 177017 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 254890080 is about 15965.2773229907. The cubic root of 254890080 is about 634.0414412966.

The spelling of 254890080 in words is "two hundred fifty-four million, eight hundred ninety thousand, eighty".