415561536 has 168 divisors, whose sum is σ = 1323807360. Its totient is φ = 127775232.

The previous prime is 415561529. The next prime is 415561579. The reversal of 415561536 is 635165514.

415561536 is a `hidden beast` number, since 4 + 1 + 5 + 5 + 615 + 36 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 415561536.

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 23 ways as a sum of consecutive naturals, for example, 291321 + ... + 292743.

Almost surely, 2^415561536 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 415561536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (661903680).

415561536 is an abundant number, since it is smaller than the sum of its proper divisors (908245824).

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

415561536 is a wasteful number, since it uses less digits than its factorization.

415561536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1470 (or 1441 counting only the distinct ones).

The product of its digits is 54000, while the sum is 36.

The square root of 415561536 is about 20385.3264874517. The cubic root of 415561536 is about 746.2398680476.

The spelling of 415561536 in words is "four hundred fifteen million, five hundred sixty-one thousand, five hundred thirty-six".