949100320 has 144 divisors (see below), whose sum is σ = 2637956160. Its totient is φ = 316099584.

The previous prime is 949100297. The next prime is 949100329. The reversal of 949100320 is 23001949.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (949100329) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1532971 + ... + 1533589.

It is an arithmetic number, because the mean of its divisors is an integer number (18319140).

Almost surely, 2^949100320 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 949100320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1318978080).

949100320 is an abundant number, since it is smaller than the sum of its proper divisors (1688855840).

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

949100320 is a wasteful number, since it uses less digits than its factorization.

949100320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 715 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 28.

The square root of 949100320 is about 30807.4718209723. The cubic root of 949100320 is about 982.7371487790.

The spelling of 949100320 in words is "nine hundred forty-nine million, one hundred thousand, three hundred twenty".