949408000 has 72 divisors (see below), whose sum is σ = 2365173720. Its totient is φ = 379750400.

The previous prime is 949407989. The next prime is 949408021. The reversal of 949408000 is 804949.

It can be written as a sum of positive squares in 4 ways, for example, as 247369984 + 702038016 = 15728^2 + 26496^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17166 + ... + 46834.

It is an arithmetic number, because the mean of its divisors is an integer number (32849635).

Almost surely, 2^949408000 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 949408000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1182586860).

949408000 is an abundant number, since it is smaller than the sum of its proper divisors (1415765720).

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

949408000 is an equidigital number, since it uses as much as digits as its factorization.

949408000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29700 (or 29676 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 34.

The square root of 949408000 is about 30812.4650101221. The cubic root of 949408000 is about 982.8433321091.

The spelling of 949408000 in words is "nine hundred forty-nine million, four hundred eight thousand".