249255405 has 36 divisors (see below), whose sum is σ = 502584732. Its totient is φ = 113944320.

The previous prime is 249255397. The next prime is 249255427. The reversal of 249255405 is 504552942.

249255405 is a `hidden beast` number, since 24 + 92 + 5 + 540 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 129549924 + 119705481 = 11382^2 + 10941^2 .

It is not a de Polignac number, because 249255405 - 2³ = 249255397 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 249255405.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 54316 + ... + 58725.

It is an arithmetic number, because the mean of its divisors is an integer number (13960687).

Almost surely, 2^249255405 is an apocalyptic number.

It is an amenable number.

249255405 is an abundant number, since it is smaller than the sum of its proper divisors (253329327).

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

249255405 is a wasteful number, since it uses less digits than its factorization.

249255405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113066 (or 113056 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 249255405 is about 15787.8245809865. The cubic root of 249255405 is about 629.3344823952.

The spelling of 249255405 in words is "two hundred forty-nine million, two hundred fifty-five thousand, four hundred five".