48825920 has 168 divisors, whose sum is σ = 139046712. Its totient is φ = 16220160.

The previous prime is 48825913. The next prime is 48825923. The reversal of 48825920 is 2952884.

It can be written as a sum of positive squares in 4 ways, for example, as 495616 + 48330304 = 704^2 + 6952^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48825923) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 503312 + ... + 503408.

It is an arithmetic number, because the mean of its divisors is an integer number (827659).

Almost surely, 2^48825920 is an apocalyptic number.

48825920 is a gapful number since it is divisible by the number (40) 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 48825920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69523356).

48825920 is an abundant number, since it is smaller than the sum of its proper divisors (90220792).

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

48825920 is a wasteful number, since it uses less digits than its factorization.

48825920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 38.

The square root of 48825920 is about 6987.5546509491. The cubic root of 48825920 is about 365.4967153620.

The spelling of 48825920 in words is "forty-eight million, eight hundred twenty-five thousand, nine hundred twenty".