949749120 has 384 divisors, whose sum is σ = 3505731840. Its totient is φ = 236408832.

The previous prime is 949749109. The next prime is 949749161. The reversal of 949749120 is 21947949.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8876107 + ... + 8876213.

It is an arithmetic number, because the mean of its divisors is an integer number (9129510).

Almost surely, 2^949749120 is an apocalyptic number.

949749120 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 949749120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1752865920).

949749120 is an abundant number, since it is smaller than the sum of its proper divisors (2555982720).

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

949749120 is a wasteful number, since it uses less digits than its factorization.

949749120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 949749120 is about 30817.9999351029. Note that the first 4 decimals coincide. The cubic root of 949749120 is about 982.9610290922.

The spelling of 949749120 in words is "nine hundred forty-nine million, seven hundred forty-nine thousand, one hundred twenty".