949197312 has 320 divisors, whose sum is σ = 3405853440. Its totient is φ = 254803968.

The previous prime is 949197259. The next prime is 949197313. The reversal of 949197312 is 213791949.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (949197313) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1644768 + ... + 1645344.

It is an arithmetic number, because the mean of its divisors is an integer number (10643292).

Almost surely, 2^949197312 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 949197312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1702926720).

949197312 is an abundant number, since it is smaller than the sum of its proper divisors (2456656128).

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

949197312 is a wasteful number, since it uses less digits than its factorization.

949197312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 628 (or 606 counting only the distinct ones).

The product of its digits is 122472, while the sum is 45.

The square root of 949197312 is about 30809.0459443326. The cubic root of 949197312 is about 982.7706241285.

The spelling of 949197312 in words is "nine hundred forty-nine million, one hundred ninety-seven thousand, three hundred twelve".