949221000 has 768 divisors, whose sum is σ = 4224729600. Its totient is φ = 186624000.

The previous prime is 949220999. The next prime is 949221029. The reversal of 949221000 is 122949.

949221000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 15560970 + ... + 15561030.

It is an arithmetic number, because the mean of its divisors is an integer number (5500950).

Almost surely, 2^949221000 is an apocalyptic number.

949221000 is a gapful number since it is divisible by the number (90) 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 949221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2112364800).

949221000 is an abundant number, since it is smaller than the sum of its proper divisors (3275508600).

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

949221000 is a wasteful number, since it uses less digits than its factorization.

949221000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 949221000 is about 30809.4303744811. The cubic root of 949221000 is about 982.7787993437.

Adding to 949221000 its reverse (122949), we get a palindrome (949343949).

The spelling of 949221000 in words is "nine hundred forty-nine million, two hundred twenty-one thousand".