48366384 has 80 divisors (see below), whose sum is σ = 139276800. Its totient is φ = 14337280.

The previous prime is 48366361. The next prime is 48366391.

48366384 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×48366384³ (a number of 24 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

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, 23842 + ... + 25790.

It is an arithmetic number, because the mean of its divisors is an integer number (1740960).

Almost surely, 2^48366384 is an apocalyptic number.

48366384 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 48366384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69638400).

48366384 is an abundant number, since it is smaller than the sum of its proper divisors (90910416).

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

48366384 is a wasteful number, since it uses less digits than its factorization.

48366384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2018 (or 2012 counting only the distinct ones).

The product of its digits is 331776, while the sum is 42.

The square root of 48366384 is about 6954.5944525903. The cubic root of 48366384 is about 364.3464479175.

The spelling of 48366384 in words is "forty-eight million, three hundred sixty-six thousand, three hundred eighty-four".