948782250 has 192 divisors, whose sum is σ = 2793772800. Its totient is φ = 230947200.

The previous prime is 948782207. The next prime is 948782273. The reversal of 948782250 is 52287849.

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

It is a junction number, because it is equal to n+sod(n) for n = 948782196 and 948782205.

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 95 ways as a sum of consecutive naturals, for example, 4767651 + ... + 4767849.

It is an arithmetic number, because the mean of its divisors is an integer number (14550900).

Almost surely, 2^948782250 is an apocalyptic number.

948782250 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 948782250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1396886400).

948782250 is an abundant number, since it is smaller than the sum of its proper divisors (1844990550).

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

948782250 is a wasteful number, since it uses less digits than its factorization.

948782250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 948782250 is about 30802.3091666842. The cubic root of 948782250 is about 982.6273556332.

The spelling of 948782250 in words is "nine hundred forty-eight million, seven hundred eighty-two thousand, two hundred fifty".