4798080 has 288 divisors, whose sum is σ = 20407140. Its totient is φ = 1032192.

The previous prime is 4798061. The next prime is 4798081. The reversal of 4798080 is 808974.

It can be written as a sum of positive squares in 2 ways, for example, as 4769856 + 28224 = 2184^2 + 168^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (4798081) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 282232 + ... + 282248.

Almost surely, 2^4798080 is an apocalyptic number.

4798080 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 4798080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10203570).

4798080 is an abundant number, since it is smaller than the sum of its proper divisors (15609060).

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

4798080 is a wasteful number, since it uses less digits than its factorization.

4798080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 4798080 is about 2190.4520081481. The cubic root of 4798080 is about 168.6640385231.

The spelling of 4798080 in words is "four million, seven hundred ninety-eight thousand, eighty".