415606436 has 36 divisors (see below), whose sum is σ = 849060828. Its totient is φ = 177484608.

The previous prime is 415606423. The next prime is 415606483. The reversal of 415606436 is 634606514.

It can be written as a sum of positive squares in 2 ways, for example, as 344102500 + 71503936 = 18550^2 + 8456^2 .

It is a junction number, because it is equal to n+sod(n) for n = 415606396 and 415606405.

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 11 ways as a sum of consecutive naturals, for example, 53810 + ... + 61046.

It is an arithmetic number, because the mean of its divisors is an integer number (23585023).

Almost surely, 2^415606436 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 415606436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424530414).

415606436 is an abundant number, since it is smaller than the sum of its proper divisors (433454392).

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

415606436 is a wasteful number, since it uses less digits than its factorization.

415606436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7548 (or 7539 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 35.

The square root of 415606436 is about 20386.4277400431. The cubic root of 415606436 is about 746.2667432999.

The spelling of 415606436 in words is "four hundred fifteen million, six hundred six thousand, four hundred thirty-six".