249346656 has 216 divisors, whose sum is σ = 791350560. Its totient is φ = 74400768.

The previous prime is 249346639. The next prime is 249346661. The reversal of 249346656 is 656643942.

249346656 is a `hidden beast` number, since 249 + 346 + 65 + 6 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a nialpdrome in base 16.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2287530 + ... + 2287638.

It is an arithmetic number, because the mean of its divisors is an integer number (3663660).

Almost surely, 2^249346656 is an apocalyptic number.

249346656 is a gapful number since it is divisible by the number (26) 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 249346656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395675280).

249346656 is an abundant number, since it is smaller than the sum of its proper divisors (542003904).

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

249346656 is a wasteful number, since it uses less digits than its factorization.

249346656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 174 counting only the distinct ones).

The product of its digits is 933120, while the sum is 45.

The square root of 249346656 is about 15790.7142333715. The cubic root of 249346656 is about 629.4112716284.

The spelling of 249346656 in words is "two hundred forty-nine million, three hundred forty-six thousand, six hundred fifty-six".