4833920 has 128 divisors (see below), whose sum is σ = 14394240. Its totient is φ = 1511424.

The previous prime is 4833911. The next prime is 4833937. The reversal of 4833920 is 293384.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58199 + ... + 58281.

It is an arithmetic number, because the mean of its divisors is an integer number (112455).

Almost surely, 2^4833920 is an apocalyptic number.

4833920 is a gapful number since it is divisible by the number (40) 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 4833920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7197120).

4833920 is an abundant number, since it is smaller than the sum of its proper divisors (9560320).

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

4833920 is a wasteful number, since it uses less digits than its factorization.

4833920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 29.

The square root of 4833920 is about 2198.6177475860. The cubic root of 4833920 is about 169.0829512366.

The spelling of 4833920 in words is "four million, eight hundred thirty-three thousand, nine hundred twenty".