48685824 has 216 divisors, whose sum is σ = 163577232. Its totient is φ = 13762560.

The previous prime is 48685799. The next prime is 48685829. The reversal of 48685824 is 42858684.

48685824 is a `hidden beast` number, since 4 + 8 + 68 + 582 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 48685824.

It is not an unprimeable number, because it can be changed into a prime (48685829) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 430792 + ... + 430904.

It is an arithmetic number, because the mean of its divisors is an integer number (757302).

Almost surely, 2^48685824 is an apocalyptic number.

48685824 is a gapful number since it is divisible by the number (44) 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 48685824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81788616).

48685824 is an abundant number, since it is smaller than the sum of its proper divisors (114891408).

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

48685824 is a wasteful number, since it uses less digits than its factorization.

48685824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 146 counting only the distinct ones).

The product of its digits is 491520, while the sum is 45.

The square root of 48685824 is about 6977.5227695795. The cubic root of 48685824 is about 365.1468077734.

The spelling of 48685824 in words is "forty-eight million, six hundred eighty-five thousand, eight hundred twenty-four".