949965984 has 288 divisors, whose sum is σ = 3226728960. Its totient is φ = 261734400.

The previous prime is 949965943. The next prime is 949965997. The reversal of 949965984 is 489569949.

949965984 is a `hidden beast` number, since 9 + 499 + 65 + 9 + 84 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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, 1669252 + ... + 1669820.

It is an arithmetic number, because the mean of its divisors is an integer number (11203920).

Almost surely, 2^949965984 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 949965984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1613364480).

949965984 is an abundant number, since it is smaller than the sum of its proper divisors (2276762976).

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

949965984 is a wasteful number, since it uses less digits than its factorization.

949965984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 644 (or 633 counting only the distinct ones).

The product of its digits is 25194240, while the sum is 63.

The square root of 949965984 is about 30821.5181975191. The cubic root of 949965984 is about 983.0358392476.

The spelling of 949965984 in words is "nine hundred forty-nine million, nine hundred sixty-five thousand, nine hundred eighty-four".