415560 has 32 divisors (see below), whose sum is σ = 1247040. Its totient is φ = 110784.

The previous prime is 415559. The next prime is 415567. The reversal of 415560 is 65514.

It is a happy number.

It is a super-2 number, since 2×415560² = 345380227200, which contains 22 as substring.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 415560.

It is not an unprimeable number, because it can be changed into a prime (415567) 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, 1612 + ... + 1851.

It is an arithmetic number, because the mean of its divisors is an integer number (38970).

2⁴¹⁵⁵⁶⁰ is an apocalyptic number.

415560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

415560 is an abundant number, since it is smaller than the sum of its proper divisors (831480).

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

415560 is a wasteful number, since it uses less digits than its factorization.

415560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3477 (or 3473 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 415560 is about 644.6394341025. The cubic root of 415560 is about 74.6238948628.

The spelling of 415560 in words is "four hundred fifteen thousand, five hundred sixty".