254983680 has 640 divisors, whose sum is σ = 1131356160. Its totient is φ = 53084160.

The previous prime is 254983669. The next prime is 254983723. The reversal of 254983680 is 86389452.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 8225265 + ... + 8225295.

It is an arithmetic number, because the mean of its divisors is an integer number (1767744).

Almost surely, 2^254983680 is an apocalyptic number.

254983680 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 254983680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565678080).

254983680 is an abundant number, since it is smaller than the sum of its proper divisors (876372480).

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

254983680 is a wasteful number, since it uses less digits than its factorization.

254983680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 254983680 is about 15968.2084154735. The cubic root of 254983680 is about 634.1190420884.

The spelling of 254983680 in words is "two hundred fifty-four million, nine hundred eighty-three thousand, six hundred eighty".