948049920 has 336 divisors, whose sum is σ = 3437441280. Its totient is φ = 250822656.

The previous prime is 948049919. The next prime is 948049943. The reversal of 948049920 is 29940849.

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 pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 7464897 + ... + 7465023.

It is an arithmetic number, because the mean of its divisors is an integer number (10230480).

Almost surely, 2^948049920 is an apocalyptic number.

948049920 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 948049920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1718720640).

948049920 is an abundant number, since it is smaller than the sum of its proper divisors (2489391360).

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

948049920 is an equidigital number, since it uses as much as digits as its factorization.

948049920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 948049920 is about 30790.4192891230. The cubic root of 948049920 is about 982.3744726291.

The spelling of 948049920 in words is "nine hundred forty-eight million, forty-nine thousand, nine hundred twenty".