4973584 has 60 divisors (see below), whose sum is σ = 12138112. Its totient is φ = 1932480.

The previous prime is 4973581. The next prime is 4973597. The reversal of 4973584 is 4853794.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4973581) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13369 + ... + 13735.

Almost surely, 2^4973584 is an apocalyptic number.

4973584 is a gapful number since it is divisible by the number (44) 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 4973584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6069056).

4973584 is an abundant number, since it is smaller than the sum of its proper divisors (7164528).

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

4973584 is a wasteful number, since it uses less digits than its factorization.

4973584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 387 counting only the distinct ones).

The product of its digits is 120960, while the sum is 40.

The square root of 4973584 is about 2230.1533579555. The cubic root of 4973584 is about 170.6959246172.

The spelling of 4973584 in words is "four million, nine hundred seventy-three thousand, five hundred eighty-four".