948383520 has 192 divisors, whose sum is σ = 3532273920. Its totient is φ = 209276928.

The previous prime is 948383507. The next prime is 948383551. The reversal of 948383520 is 25383849.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 31 ways as a sum of consecutive naturals, for example, 92574 + ... + 102306.

It is an arithmetic number, because the mean of its divisors is an integer number (18397260).

Almost surely, 2^948383520 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 948383520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1766136960).

948383520 is an abundant number, since it is smaller than the sum of its proper divisors (2583890400).

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

948383520 is a wasteful number, since it uses less digits than its factorization.

948383520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9787 (or 9779 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The square root of 948383520 is about 30795.8360821719. The cubic root of 948383520 is about 982.4896851600.

The spelling of 948383520 in words is "nine hundred forty-eight million, three hundred eighty-three thousand, five hundred twenty".