413500626 has 80 divisors (see below), whose sum is σ = 1155211200. Its totient is φ = 107399520.

The previous prime is 413500609. The next prime is 413500643. The reversal of 413500626 is 626005314.

413500626 is a `hidden beast` number, since 4 + 1 + 35 + 0 + 0 + 626 = 666.

It is an interprime number because it is at equal distance from previous prime (413500609) and next prime (413500643).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 413500626.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4101 + ... + 29048.

It is an arithmetic number, because the mean of its divisors is an integer number (14440140).

Almost surely, 2^413500626 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413500626, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577605600).

413500626 is an abundant number, since it is smaller than the sum of its proper divisors (741710574).

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

413500626 is a wasteful number, since it uses less digits than its factorization.

413500626 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33181 (or 33172 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 413500626 is about 20334.7148000654. The cubic root of 413500626 is about 745.0042045917.

The spelling of 413500626 in words is "four hundred thirteen million, five hundred thousand, six hundred twenty-six".