415601560 has 64 divisors (see below), whose sum is σ = 1022505120. Its totient is φ = 150773760.

The previous prime is 415601551. The next prime is 415601591. The reversal of 415601560 is 65106514.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 253062 + ... + 254698.

Almost surely, 2^415601560 is an apocalyptic number.

415601560 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 415601560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511252560).

415601560 is an abundant number, since it is smaller than the sum of its proper divisors (606903560).

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

415601560 is a wasteful number, since it uses less digits than its factorization.

415601560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2236 (or 2232 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 28.

The square root of 415601560 is about 20386.3081503248. The cubic root of 415601560 is about 746.2638248250.

The spelling of 415601560 in words is "four hundred fifteen million, six hundred one thousand, five hundred sixty".