4638546 has 80 divisors (see below), whose sum is σ = 12022560. Its totient is φ = 1321920.

The previous prime is 4638541. The next prime is 4638547. The reversal of 4638546 is 6458364.

It is a super-2 number, since 2×4638546² = 43032217988232, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4638546.

It is not an unprimeable number, because it can be changed into a prime (4638541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 33790 + ... + 33926.

It is an arithmetic number, because the mean of its divisors is an integer number (150282).

Almost surely, 2^4638546 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4638546, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6011280).

4638546 is an abundant number, since it is smaller than the sum of its proper divisors (7384014).

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

4638546 is a wasteful number, since it uses less digits than its factorization.

4638546 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 172 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 4638546 is about 2153.7283951325. The cubic root of 4638546 is about 166.7735944951.

It can be divided in two parts, 4638 and 546, that added together give a square (5184 = 72²).

The spelling of 4638546 in words is "four million, six hundred thirty-eight thousand, five hundred forty-six".