948283320 has 64 divisors (see below), whose sum is σ = 2855761920. Its totient is φ = 251905664.

The previous prime is 948283309. The next prime is 948283321. The reversal of 948283320 is 23382849.

948283320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (948283321) 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, 16537 + ... + 46583.

It is an arithmetic number, because the mean of its divisors is an integer number (44621280).

Almost surely, 2^948283320 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 948283320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1427880960).

948283320 is an abundant number, since it is smaller than the sum of its proper divisors (1907478600).

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

948283320 is a wasteful number, since it uses less digits than its factorization.

948283320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30324 (or 30320 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 948283320 is about 30794.2091958862. The cubic root of 948283320 is about 982.4550827966.

The spelling of 948283320 in words is "nine hundred forty-eight million, two hundred eighty-three thousand, three hundred twenty".