4816000 has 128 divisors (see below), whose sum is σ = 14002560. Its totient is φ = 1612800.

The previous prime is 4815997. The next prime is 4816003. The reversal of 4816000 is 6184.

It is an interprime number because it is at equal distance from previous prime (4815997) and next prime (4816003).

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

It is not an unprimeable number, because it can be changed into a prime (4816003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 111979 + ... + 112021.

It is an arithmetic number, because the mean of its divisors is an integer number (109395).

Almost surely, 2^4816000 is an apocalyptic number.

4816000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

4816000 is the 1792-nd pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4816000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7001280).

4816000 is an abundant number, since it is smaller than the sum of its proper divisors (9186560).

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

4816000 is an equidigital number, since it uses as much as digits as its factorization.

4816000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 4816000 is about 2194.5386758952. The cubic root of 4816000 is about 168.8737546714.

The spelling of 4816000 in words is "four million, eight hundred sixteen thousand".