249561216 has 64 divisors (see below), whose sum is σ = 736562400. Its totient is φ = 83185920.

The previous prime is 249561199. The next prime is 249561217. The reversal of 249561216 is 612165942.

249561216 is a `hidden beast` number, since 24 + 9 + 5 + 612 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (249561217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32650 + ... + 39561.

Almost surely, 2^249561216 is an apocalyptic number.

It is an amenable number.

249561216 is an abundant number, since it is smaller than the sum of its proper divisors (487001184).

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

249561216 is an equidigital number, since it uses as much as digits as its factorization.

249561216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72234 (or 72216 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 249561216 is about 15797.5066387073. The cubic root of 249561216 is about 629.5917536500.

The spelling of 249561216 in words is "two hundred forty-nine million, five hundred sixty-one thousand, two hundred sixteen".