46869984 has 144 divisors (see below), whose sum is σ = 155046528. Its totient is φ = 13153536.

The previous prime is 46869971. The next prime is 46870001. The reversal of 46869984 is 48996864.

46869984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a self number, because there is not a number n which added to its sum of digits gives 46869984.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 134899 + ... + 135245.

It is an arithmetic number, because the mean of its divisors is an integer number (1076712).

Almost surely, 2^46869984 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 46869984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77523264).

46869984 is an abundant number, since it is smaller than the sum of its proper divisors (108176544).

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

46869984 is a wasteful number, since it uses less digits than its factorization.

46869984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437 (or 426 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 54.

The square root of 46869984 is about 6846.1656421679. The cubic root of 46869984 is about 360.5495310979.

The spelling of 46869984 in words is "forty-six million, eight hundred sixty-nine thousand, nine hundred eighty-four".