4838000 has 80 divisors (see below), whose sum is σ = 12186720. Its totient is φ = 1856000.

The previous prime is 4837997. The next prime is 4838017. The reversal of 4838000 is 8384.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81971 + ... + 82029.

It is an arithmetic number, because the mean of its divisors is an integer number (152334).

Almost surely, 2^4838000 is an apocalyptic number.

4838000 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 4838000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6093360).

4838000 is an abundant number, since it is smaller than the sum of its proper divisors (7348720).

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

4838000 is a wasteful number, since it uses less digits than its factorization.

4838000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 4838000 is about 2199.5454075786. The cubic root of 4838000 is about 169.1305085292.

The spelling of 4838000 in words is "four million, eight hundred thirty-eight thousand".