46563984 has 200 divisors, whose sum is σ = 148839680. Its totient is φ = 13996800.

The previous prime is 46563967. The next prime is 46563989. The reversal of 46563984 is 48936564.

46563984 is a `hidden beast` number, since 4 + 6 + 5 + 639 + 8 + 4 = 666.

It is a super-4 number, since 4×46563984⁴ (a number of 32 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (46563989) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 763314 + ... + 763374.

Almost surely, 2^46563984 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 46563984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74419840).

46563984 is an abundant number, since it is smaller than the sum of its proper divisors (102275696).

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

46563984 is a wasteful number, since it uses less digits than its factorization.

46563984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 116 counting only the distinct ones).

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

The square root of 46563984 is about 6823.7807702182. The cubic root of 46563984 is about 359.7631775762.

The spelling of 46563984 in words is "forty-six million, five hundred sixty-three thousand, nine hundred eighty-four".