4115520 has 84 divisors (see below), whose sum is σ = 14165580. Its totient is φ = 1096704.

The previous prime is 4115509. The next prime is 4115537. The reversal of 4115520 is 255114.

It can be written as a sum of positive squares in 2 ways, for example, as 788544 + 3326976 = 888^2 + 1824^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 4115493 and 4115502.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2166 + ... + 3594.

Almost surely, 2^4115520 is an apocalyptic number.

4115520 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 4115520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7082790).

4115520 is an abundant number, since it is smaller than the sum of its proper divisors (10050060).

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

4115520 is a wasteful number, since it uses less digits than its factorization.

4115520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1452 (or 1439 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 4115520 is about 2028.6744440644. The cubic root of 4115520 is about 160.2537639779.

The spelling of 4115520 in words is "four million, one hundred fifteen thousand, five hundred twenty".