46084896 has 192 divisors, whose sum is σ = 158336640. Its totient is φ = 12856320.

The previous prime is 46084891. The next prime is 46084897. The reversal of 46084896 is 69848064.

It is a happy number.

46084896 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (46084891) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 123366 + ... + 123738.

It is an arithmetic number, because the mean of its divisors is an integer number (824670).

Almost surely, 2^46084896 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 46084896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79168320).

46084896 is an abundant number, since it is smaller than the sum of its proper divisors (112251744).

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

46084896 is a wasteful number, since it uses less digits than its factorization.

46084896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 46084896 is about 6788.5857142707. The cubic root of 46084896 is about 358.5250765884.

The spelling of 46084896 in words is "forty-six million, eighty-four thousand, eight hundred ninety-six".