46080384 has 192 divisors, whose sum is σ = 148838400. Its totient is φ = 12579840.

The previous prime is 46080379. The next prime is 46080407. The reversal of 46080384 is 48308064.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

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, 583257 + ... + 583335.

It is an arithmetic number, because the mean of its divisors is an integer number (775200).

Almost surely, 2^46080384 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 46080384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74419200).

46080384 is an abundant number, since it is smaller than the sum of its proper divisors (102758016).

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

46080384 is a wasteful number, since it uses less digits than its factorization.

46080384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 122 counting only the distinct ones).

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

The square root of 46080384 is about 6788.2533836032. The cubic root of 46080384 is about 358.5133755895.

It can be divided in two parts, 46080 and 384, that added together give a palindrome (46464).

The spelling of 46080384 in words is "forty-six million, eighty thousand, three hundred eighty-four".