254864016 has 80 divisors (see below), whose sum is σ = 798073920. Its totient is φ = 77230080.

The previous prime is 254863997. The next prime is 254864041. The reversal of 254864016 is 610468452.

254864016 is a `hidden beast` number, since 2 + 5 + 4 + 8 + 640 + 1 + 6 = 666.

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

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 15 ways as a sum of consecutive naturals, for example, 22065 + ... + 31568.

It is an arithmetic number, because the mean of its divisors is an integer number (9975924).

Almost surely, 2^254864016 is an apocalyptic number.

It is an amenable number.

254864016 is an abundant number, since it is smaller than the sum of its proper divisors (543209904).

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

254864016 is a wasteful number, since it uses less digits than its factorization.

254864016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53661 (or 53649 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 254864016 is about 15964.4610306769. The cubic root of 254864016 is about 634.0198290793.

It can be divided in two parts, 2548 and 64016, that added together give a square (66564 = 258²).

The spelling of 254864016 in words is "two hundred fifty-four million, eight hundred sixty-four thousand, sixteen".