48185820 has 192 divisors, whose sum is σ = 165110400. Its totient is φ = 11612160.

The previous prime is 48185789. The next prime is 48185821. The reversal of 48185820 is 2858184.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48185821) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 266130 + ... + 266310.

It is an arithmetic number, because the mean of its divisors is an integer number (859950).

Almost surely, 2^48185820 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 48185820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82555200).

48185820 is an abundant number, since it is smaller than the sum of its proper divisors (116924580).

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

48185820 is a wasteful number, since it uses less digits than its factorization.

48185820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The square root of 48185820 is about 6941.6006799585. The cubic root of 48185820 is about 363.8924832395.

The spelling of 48185820 in words is "forty-eight million, one hundred eighty-five thousand, eight hundred twenty".