48300384 has 96 divisors (see below), whose sum is σ = 141087744. Its totient is φ = 14343680.

The previous prime is 48300359. The next prime is 48300397.

48300384 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55537 + ... + 56399.

It is an arithmetic number, because the mean of its divisors is an integer number (1469664).

Almost surely, 2^48300384 is an apocalyptic number.

48300384 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 48300384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70543872).

48300384 is an abundant number, since it is smaller than the sum of its proper divisors (92787360).

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

48300384 is a wasteful number, since it uses less digits than its factorization.

48300384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 940 (or 932 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 48300384 is about 6949.8477681169. The cubic root of 48300384 is about 364.1806453507.

It can be divided in two parts, 48300 and 384, that added together give a palindrome (48684).

The spelling of 48300384 in words is "forty-eight million, three hundred thousand, three hundred eighty-four".