948200 has 48 divisors (see below), whose sum is σ = 2410560. Its totient is φ = 344000.

The previous prime is 948187. The next prime is 948247. The reversal of 948200 is 2849.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 948200.

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 11 ways as a sum of consecutive naturals, for example, 1985 + ... + 2415.

It is an arithmetic number, because the mean of its divisors is an integer number (50220).

2⁹⁴⁸²⁰⁰ 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 948200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1205280).

948200 is an abundant number, since it is smaller than the sum of its proper divisors (1462360).

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

948200 is a wasteful number, since it uses less digits than its factorization.

948200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 948200 is about 973.7556161584. The cubic root of 948200 is about 98.2426307797.

The spelling of 948200 in words is "nine hundred forty-eight thousand, two hundred".