413539560 has 256 divisors, whose sum is σ = 1658880000. Its totient is φ = 89517312.

The previous prime is 413539531. The next prime is 413539561. The reversal of 413539560 is 65935314.

413539560 is a `hidden beast` number, since 41 + 3 + 53 + 9 + 560 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (413539561) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 142201 + ... + 145079.

It is an arithmetic number, because the mean of its divisors is an integer number (6480000).

Almost surely, 2^413539560 is an apocalyptic number.

413539560 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 413539560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (829440000).

413539560 is an abundant number, since it is smaller than the sum of its proper divisors (1245340440).

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

413539560 is a wasteful number, since it uses less digits than its factorization.

413539560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2925 (or 2915 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The square root of 413539560 is about 20335.6721059325. The cubic root of 413539560 is about 745.0275863244.

The spelling of 413539560 in words is "four hundred thirteen million, five hundred thirty-nine thousand, five hundred sixty".