948242880 has 672 divisors, whose sum is σ = 3905341440. Its totient is φ = 209018880.

The previous prime is 948242863. The next prime is 948242887. The reversal of 948242880 is 88242849.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (948242887) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22052139 + ... + 22052181.

It is an arithmetic number, because the mean of its divisors is an integer number (5811520).

Almost surely, 2^948242880 is an apocalyptic number.

948242880 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 948242880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1952670720).

948242880 is an abundant number, since it is smaller than the sum of its proper divisors (2957098560).

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

948242880 is a wasteful number, since it uses less digits than its factorization.

948242880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The square root of 948242880 is about 30793.5525719265. The cubic root of 948242880 is about 982.4411168409.

The spelling of 948242880 in words is "nine hundred forty-eight million, two hundred forty-two thousand, eight hundred eighty".