4638180 has 48 divisors (see below), whose sum is σ = 13555584. Its totient is φ = 1182720.

The previous prime is 4638149. The next prime is 4638181. The reversal of 4638180 is 818364.

It is a happy number.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4638181) 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 15 ways as a sum of consecutive naturals, for example, 301 + ... + 3060.

It is an arithmetic number, because the mean of its divisors is an integer number (282408).

Almost surely, 2^4638180 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4638180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6777792).

4638180 is an abundant number, since it is smaller than the sum of its proper divisors (8917404).

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

4638180 is a wasteful number, since it uses less digits than its factorization.

4638180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3396 (or 3394 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 4638180 is about 2153.6434245251. The cubic root of 4638180 is about 166.7692080098.

It can be divided in two parts, 46 and 38180, that added together give a triangular number (38226 = T₂₇₆).

The spelling of 4638180 in words is "four million, six hundred thirty-eight thousand, one hundred eighty".