4959080 has 64 divisors (see below), whose sum is σ = 12960000. Its totient is φ = 1672704.

The previous prime is 4959079. The next prime is 4959083. The reversal of 4959080 is 809594.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 4959080.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4959083) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24821 + ... + 25019.

It is an arithmetic number, because the mean of its divisors is an integer number (202500).

Almost surely, 2^4959080 is an apocalyptic number.

4959080 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 4959080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6480000).

4959080 is an abundant number, since it is smaller than the sum of its proper divisors (8000920).

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

4959080 is a wasteful number, since it uses less digits than its factorization.

4959080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 35.

The square root of 4959080 is about 2226.8991894560. The cubic root of 4959080 is about 170.5298348504.

The spelling of 4959080 in words is "four million, nine hundred fifty-nine thousand, eighty".