4052880 has 120 divisors (see below), whose sum is σ = 14691768. Its totient is φ = 995328.

The previous prime is 4052849. The next prime is 4052911. The reversal of 4052880 is 882504.

It is an interprime number because it is at equal distance from previous prime (4052849) and next prime (4052911).

It can be written as a sum of positive squares in 4 ways, for example, as 36864 + 4016016 = 192^2 + 2004^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9144 + ... + 9576.

Almost surely, 2^4052880 is an apocalyptic number.

4052880 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 4052880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7345884).

4052880 is an abundant number, since it is smaller than the sum of its proper divisors (10638888).

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

4052880 is a wasteful number, since it uses less digits than its factorization.

4052880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 4052880 is about 2013.1765943404. The cubic root of 4052880 is about 159.4365598407.

It can be divided in two parts, 405 and 2880, that multiplied together give a square (1166400 = 1080²).

The spelling of 4052880 in words is "four million, fifty-two thousand, eight hundred eighty".