48384600 has 96 divisors (see below), whose sum is σ = 163650240. Its totient is φ = 11728000.

The previous prime is 48384599. The next prime is 48384607. The reversal of 48384600 is 648384.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48384607) 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, 2935 + ... + 10265.

It is an arithmetic number, because the mean of its divisors is an integer number (1704690).

Almost surely, 2^48384600 is an apocalyptic number.

48384600 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 48384600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81825120).

48384600 is an abundant number, since it is smaller than the sum of its proper divisors (115265640).

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

48384600 is a wasteful number, since it uses less digits than its factorization.

48384600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7361 (or 7352 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 48384600 is about 6955.9039671347. The cubic root of 48384600 is about 364.3921828634.

It can be divided in two parts, 48384 and 600, that added together give a palindrome (48984).

The spelling of 48384600 in words is "forty-eight million, three hundred eighty-four thousand, six hundred".