46884648 has 128 divisors (see below), whose sum is σ = 130636800. Its totient is φ = 13977600.

The previous prime is 46884641. The next prime is 46884667. The reversal of 46884648 is 84648864.

46884648 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 junction number, because it is equal to n+sod(n) for n = 46884597 and 46884606.

It is not an unprimeable number, because it can be changed into a prime (46884641) 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, 884590 + ... + 884642.

It is an arithmetic number, because the mean of its divisors is an integer number (1020600).

Almost surely, 2^46884648 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 46884648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65318400).

46884648 is an abundant number, since it is smaller than the sum of its proper divisors (83752152).

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

46884648 is a wasteful number, since it uses less digits than its factorization.

46884648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 159 counting only the distinct ones).

The product of its digits is 1179648, while the sum is 48.

The square root of 46884648 is about 6847.2365228609. The cubic root of 46884648 is about 360.5871283445.

The spelling of 46884648 in words is "forty-six million, eight hundred eighty-four thousand, six hundred forty-eight".