4846480 has 40 divisors (see below), whose sum is σ = 11662200. Its totient is φ = 1870848.

The previous prime is 4846477. The next prime is 4846481. The reversal of 4846480 is 846484.

It can be written as a sum of positive squares in 4 ways, for example, as 1327104 + 3519376 = 1152^2 + 1876^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4846481) 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 7 ways as a sum of consecutive naturals, for example, 1276 + ... + 3364.

It is an arithmetic number, because the mean of its divisors is an integer number (291555).

Almost surely, 2^4846480 is an apocalyptic number.

4846480 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 4846480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5831100).

4846480 is an abundant number, since it is smaller than the sum of its proper divisors (6815720).

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

4846480 is a wasteful number, since it uses less digits than its factorization.

4846480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2131 (or 2125 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 34.

The square root of 4846480 is about 2201.4722346648. The cubic root of 4846480 is about 169.2292676281.

The spelling of 4846480 in words is "four million, eight hundred forty-six thousand, four hundred eighty".