4905180 has 144 divisors (see below), whose sum is σ = 18083520. Its totient is φ = 1050624.

The previous prime is 4905179. The next prime is 4905181. The reversal of 4905180 is 815094.

4905180 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4905179) and next prime (4905181).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4905181) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21306 + ... + 21534.

It is an arithmetic number, because the mean of its divisors is an integer number (125580).

Almost surely, 2^4905180 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 4905180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9041760).

4905180 is an abundant number, since it is smaller than the sum of its proper divisors (13178340).

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

4905180 is a wasteful number, since it uses less digits than its factorization.

4905180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 4905180 is about 2214.7640957899. The cubic root of 4905180 is about 169.9097560243.

The spelling of 4905180 in words is "four million, nine hundred five thousand, one hundred eighty".