413622560 has 96 divisors (see below), whose sum is σ = 1074995712. Its totient is φ = 149437440.

The previous prime is 413622541. The next prime is 413622581. The reversal of 413622560 is 65226314.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 95645 + ... + 99875.

It is an arithmetic number, because the mean of its divisors is an integer number (11197872).

Almost surely, 2^413622560 is an apocalyptic number.

413622560 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 413622560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537497856).

413622560 is an abundant number, since it is smaller than the sum of its proper divisors (661373152).

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

413622560 is a wasteful number, since it uses less digits than its factorization.

413622560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4306 (or 4298 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 29.

The square root of 413622560 is about 20337.7127524213. The cubic root of 413622560 is about 745.0774269032.

Adding to 413622560 its reverse (65226314), we get a palindrome (478848874).

The spelling of 413622560 in words is "four hundred thirteen million, six hundred twenty-two thousand, five hundred sixty".