254803967 has 16 divisors (see below), whose sum is σ = 284719104. Its totient is φ = 226044000.

The previous prime is 254803957. The next prime is 254803981. The reversal of 254803967 is 769308452.

It is a Cunningham number, because it is equal to 48⁵-1.

It is a cyclic number.

It is not a de Polignac number, because 254803967 - 2⁴ = 254803951 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (254803957) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 279242 + ... + 280152.

It is an arithmetic number, because the mean of its divisors is an integer number (17794944).

Almost surely, 2^254803967 is an apocalyptic number.

254803967 is a deficient number, since it is larger than the sum of its proper divisors (29915137).

254803967 is a wasteful number, since it uses less digits than its factorization.

254803967 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1510.

The product of its (nonzero) digits is 362880, while the sum is 44.

The square root of 254803967 is about 15962.5802112315. The cubic root of 254803967 is about 633.9700309584.

The spelling of 254803967 in words is "two hundred fifty-four million, eight hundred three thousand, nine hundred sixty-seven".