949018272 has 96 divisors (see below), whose sum is σ = 2689303680. Its totient is φ = 292131840.

The previous prime is 949018237. The next prime is 949018307. The reversal of 949018272 is 272810949.

It is an interprime number because it is at equal distance from previous prime (949018237) and next prime (949018307).

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56622 + ... + 71442.

It is an arithmetic number, because the mean of its divisors is an integer number (28013580).

Almost surely, 2^949018272 is an apocalyptic number.

949018272 is a gapful number since it is divisible by the number (92) 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 949018272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1344651840).

949018272 is an abundant number, since it is smaller than the sum of its proper divisors (1740285408).

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

949018272 is a wasteful number, since it uses less digits than its factorization.

949018272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14886 (or 14878 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The square root of 949018272 is about 30806.1401671810. The cubic root of 949018272 is about 982.7088293487.

The spelling of 949018272 in words is "nine hundred forty-nine million, eighteen thousand, two hundred seventy-two".