948296448 has 432 divisors, whose sum is σ = 3305981952. Its totient is φ = 258048000.

The previous prime is 948296411. The next prime is 948296471. The reversal of 948296448 is 844692849.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 948296394 and 948296403.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13356253 + ... + 13356323.

It is an arithmetic number, because the mean of its divisors is an integer number (7652736).

Almost surely, 2^948296448 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 948296448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1652990976).

948296448 is an abundant number, since it is smaller than the sum of its proper divisors (2357685504).

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

948296448 is a wasteful number, since it uses less digits than its factorization.

948296448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 135 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 54.

The square root of 948296448 is about 30794.4223521079. The cubic root of 948296448 is about 982.4596164665.

The spelling of 948296448 in words is "nine hundred forty-eight million, two hundred ninety-six thousand, four hundred forty-eight".