949229952 has 128 divisors (see below), whose sum is σ = 2912630400. Its totient is φ = 270704640.

The previous prime is 949229923. The next prime is 949229959. The reversal of 949229952 is 259922949.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a junction number, because it is equal to n+sod(n) for n = 949229895 and 949229904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (949229959) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65199 + ... + 78417.

It is an arithmetic number, because the mean of its divisors is an integer number (22754925).

Almost surely, 2^949229952 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 949229952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1456315200).

949229952 is an abundant number, since it is smaller than the sum of its proper divisors (1963400448).

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

949229952 is a wasteful number, since it uses less digits than its factorization.

949229952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13264 (or 13252 counting only the distinct ones).

The product of its digits is 1049760, while the sum is 51.

The square root of 949229952 is about 30809.5756543319. The cubic root of 949229952 is about 982.7818888273.

The spelling of 949229952 in words is "nine hundred forty-nine million, two hundred twenty-nine thousand, nine hundred fifty-two".