949779072 has 192 divisors, whose sum is σ = 3003549120. Its totient is φ = 285696000.

The previous prime is 949779037. The next prime is 949779073. The reversal of 949779072 is 270977949.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (949779073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3053797 + ... + 3054107.

It is an arithmetic number, because the mean of its divisors is an integer number (15643485).

Almost surely, 2^949779072 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 949779072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1501774560).

949779072 is an abundant number, since it is smaller than the sum of its proper divisors (2053770048).

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

949779072 is a wasteful number, since it uses less digits than its factorization.

949779072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 583 (or 568 counting only the distinct ones).

The product of its (nonzero) digits is 2000376, while the sum is 54.

The square root of 949779072 is about 30818.4858810422. The cubic root of 949779072 is about 982.9713621154.

The spelling of 949779072 in words is "nine hundred forty-nine million, seven hundred seventy-nine thousand, seventy-two".