46653984 has 144 divisors (see below), whose sum is σ = 151488792. Its totient is φ = 13492224.

The previous prime is 46653979. The next prime is 46654009. The reversal of 46653984 is 48935664.

It can be written as a sum of positive squares in 4 ways, for example, as 45968400 + 685584 = 6780^2 + 828^2 .

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

Its product of digits (622080) is a multiple of the sum of its prime divisors (768).

It is a nialpdrome in base 13.

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, 63282 + ... + 64014.

Almost surely, 2^46653984 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 46653984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75744396).

46653984 is an abundant number, since it is smaller than the sum of its proper divisors (104834808).

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

46653984 is a wasteful number, since it uses less digits than its factorization.

46653984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 779 (or 768 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The square root of 46653984 is about 6830.3721714120. The cubic root of 46653984 is about 359.9948147401.

It can be divided in two parts, 4665 and 3984, that added together give a square (8649 = 93²).

The spelling of 46653984 in words is "forty-six million, six hundred fifty-three thousand, nine hundred eighty-four".