4638920 has 64 divisors (see below), whose sum is σ = 12277440. Its totient is φ = 1555200.

The previous prime is 4638911. The next prime is 4638937. The reversal of 4638920 is 298364.

Added to its reverse (298364) it gives a square (4937284 = 2222²).

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, 5315 + ... + 6125.

It is an arithmetic number, because the mean of its divisors is an integer number (191835).

Almost surely, 2^4638920 is an apocalyptic number.

4638920 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 4638920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6138720).

4638920 is an abundant number, since it is smaller than the sum of its proper divisors (7638520).

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

4638920 is a wasteful number, since it uses less digits than its factorization.

4638920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 846 (or 842 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 32.

The square root of 4638920 is about 2153.8152195581. The cubic root of 4638920 is about 166.7780766214.

Adding to 4638920 its reverse (298364), we get a square (4937284 = 2222²).

The spelling of 4638920 in words is "four million, six hundred thirty-eight thousand, nine hundred twenty".