46884768 has 72 divisors (see below), whose sum is σ = 143180352. Its totient is φ = 13394304.

The previous prime is 46884751. The next prime is 46884811. The reversal of 46884768 is 86748864.

46884768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 46884768.

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 11 ways as a sum of consecutive naturals, for example, 280 + ... + 9687.

It is an arithmetic number, because the mean of its divisors is an integer number (1988616).

Almost surely, 2^46884768 is an apocalyptic number.

46884768 is a gapful number since it is divisible by the number (48) 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 46884768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71590176).

46884768 is an abundant number, since it is smaller than the sum of its proper divisors (96295584).

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

46884768 is a wasteful number, since it uses less digits than its factorization.

46884768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9994 (or 9979 counting only the distinct ones).

The product of its digits is 2064384, while the sum is 51.

The square root of 46884768 is about 6847.2452855145. The cubic root of 46884768 is about 360.5874359819.

The spelling of 46884768 in words is "forty-six million, eight hundred eighty-four thousand, seven hundred sixty-eight".