415560444 has 96 divisors (see below), whose sum is σ = 1121734656. Its totient is φ = 118594560.

The previous prime is 415560421. The next prime is 415560463. The reversal of 415560444 is 444065514.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 187189 + ... + 189395.

It is an arithmetic number, because the mean of its divisors is an integer number (11684736).

Almost surely, 2^415560444 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 415560444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560867328).

415560444 is an abundant number, since it is smaller than the sum of its proper divisors (706174212).

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

415560444 is a wasteful number, since it uses less digits than its factorization.

415560444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2315 (or 2313 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 33.

The square root of 415560444 is about 20385.2997034628. The cubic root of 415560444 is about 746.2392143982.

The spelling of 415560444 in words is "four hundred fifteen million, five hundred sixty thousand, four hundred forty-four".