4933984 has 48 divisors (see below), whose sum is σ = 10777536. Its totient is φ = 2204800.

The previous prime is 4933979. The next prime is 4934023. The reversal of 4933984 is 4893394.

It is a super-2 number, since 2×4933984² = 48688396224512, which contains 22 as substring.

It is a d-powerful number, because it can be written as 4 + 9² + 3¹⁰ + 3¹⁴ + 9⁵ + 8⁵ + 4³ .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37599 + ... + 37729.

It is an arithmetic number, because the mean of its divisors is an integer number (224532).

Almost surely, 2^4933984 is an apocalyptic number.

4933984 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 4933984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5388768).

4933984 is an abundant number, since it is smaller than the sum of its proper divisors (5843552).

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

4933984 is a wasteful number, since it uses less digits than its factorization.

4933984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 251 counting only the distinct ones).

The product of its digits is 93312, while the sum is 40.

The square root of 4933984 is about 2221.2573016200. The cubic root of 4933984 is about 170.2416862243.

The spelling of 4933984 in words is "four million, nine hundred thirty-three thousand, nine hundred eighty-four".