949564224 has 336 divisors, whose sum is σ = 3286573056. Its totient is φ = 256435200.

The previous prime is 949564219. The next prime is 949564289. The reversal of 949564224 is 422465949.

It is a Cunningham number, because it is equal to 30815²-1.

It is a tau number, because it is divible by the number of its divisors (336).

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 self number, because there is not a number n which added to its sum of digits gives 949564224.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8874379 + ... + 8874485.

Almost surely, 2^949564224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 949564224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1643286528).

949564224 is an abundant number, since it is smaller than the sum of its proper divisors (2337008832).

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

949564224 is a wasteful number, since it uses less digits than its factorization.

949564224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 221 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The square root of 949564224 is about 30814.9999837741. Note that the first 4 decimals coincide. The cubic root of 949564224 is about 982.8972377344.

The spelling of 949564224 in words is "nine hundred forty-nine million, five hundred sixty-four thousand, two hundred twenty-four".