948480000 has 480 divisors, whose sum is σ = 3581978400. Its totient is φ = 221184000.

The previous prime is 948479977. The next prime is 948480011. The reversal of 948480000 is 84849.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×948480000² = 1799228620800000000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 49919991 + ... + 49920009.

It is an arithmetic number, because the mean of its divisors is an integer number (7462455).

Almost surely, 2^948480000 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 948480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1790989200).

948480000 is an abundant number, since it is smaller than the sum of its proper divisors (2633498400).

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

948480000 is a wasteful number, since it uses less digits than its factorization.

948480000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 948480000 is about 30797.4024878723. The cubic root of 948480000 is about 982.5230005817.

The spelling of 948480000 in words is "nine hundred forty-eight million, four hundred eighty thousand".