4415120 has 40 divisors (see below), whose sum is σ = 10352760. Its totient is φ = 1751040.

The previous prime is 4415069. The next prime is 4415123. The reversal of 4415120 is 215144.

It can be written as a sum of positive squares in 4 ways, for example, as 1893376 + 2521744 = 1376^2 + 1588^2 .

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

It is a super-2 number, since 2×4415120² = 38986569228800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4415123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18200 + ... + 18440.

It is an arithmetic number, because the mean of its divisors is an integer number (258819).

Almost surely, 2^4415120 is an apocalyptic number.

4415120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4415120 is an abundant number, since it is smaller than the sum of its proper divisors (5937640).

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

4415120 is a wasteful number, since it uses less digits than its factorization.

4415120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 483 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

The square root of 4415120 is about 2101.2186939964. The cubic root of 4415120 is about 164.0517385836.

The spelling of 4415120 in words is "four million, four hundred fifteen thousand, one hundred twenty".