4638840 has 128 divisors (see below), whose sum is σ = 15206400. Its totient is φ = 1128960.

The previous prime is 4638833. The next prime is 4638857. The reversal of 4638840 is 488364.

4638840 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 107859 + ... + 107901.

It is an arithmetic number, because the mean of its divisors is an integer number (118800).

Almost surely, 2^4638840 is an apocalyptic number.

4638840 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 4638840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7603200).

4638840 is an abundant number, since it is smaller than the sum of its proper divisors (10567560).

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

4638840 is a wasteful number, since it uses less digits than its factorization.

4638840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 4638840 is about 2153.7966477827. The cubic root of 4638840 is about 166.7771178981. Note that the first 3 decimals are identical.

The spelling of 4638840 in words is "four million, six hundred thirty-eight thousand, eight hundred forty".