4046080 has 72 divisors (see below), whose sum is σ = 10117800. Its totient is φ = 1548288.

The previous prime is 4046059. The next prime is 4046083. The reversal of 4046080 is 806404.

4046080 = T₁₆₀ + T₁₆₁ + ... + T₃₀₄.

4046080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 719104 + 3326976 = 848^2 + 1824^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4046083) 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, 37066 + ... + 37174.

It is an arithmetic number, because the mean of its divisors is an integer number (140525).

Almost surely, 2^4046080 is an apocalyptic number.

4046080 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 4046080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5058900).

4046080 is an abundant number, since it is smaller than the sum of its proper divisors (6071720).

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

4046080 is a wasteful number, since it uses less digits than its factorization.

4046080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 4046080 is about 2011.4870121380. The cubic root of 4046080 is about 159.3473413492.

The spelling of 4046080 in words is "four million, forty-six thousand, eighty".