413601564 has 24 divisors (see below), whose sum is σ = 981429120. Its totient is φ = 135530224.

The previous prime is 413601541. The next prime is 413601569. The reversal of 413601564 is 465106314.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413601569) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 291384 + ... + 292799.

It is an arithmetic number, because the mean of its divisors is an integer number (40892880).

Almost surely, 2^413601564 is an apocalyptic number.

It is an amenable number.

413601564 is an abundant number, since it is smaller than the sum of its proper divisors (567827556).

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

413601564 is a wasteful number, since it uses less digits than its factorization.

413601564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 584249 (or 584247 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 413601564 is about 20337.1965619650. The cubic root of 413601564 is about 745.0648196683.

Adding to 413601564 its reverse (465106314), we get a palindrome (878707878).

It can be divided in two parts, 41360 and 1564, that added together give a palindrome (42924).

The spelling of 413601564 in words is "four hundred thirteen million, six hundred one thousand, five hundred sixty-four".