413506590 has 48 divisors (see below), whose sum is σ = 1154446992. Its totient is φ = 94515456.

The previous prime is 413506579. The next prime is 413506591. The reversal of 413506590 is 95605314.

It is a happy number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413506591) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 139179 + ... + 142118.

It is an arithmetic number, because the mean of its divisors is an integer number (24050979).

Almost surely, 2^413506590 is an apocalyptic number.

413506590 is an abundant number, since it is smaller than the sum of its proper divisors (740940402).

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

413506590 is a wasteful number, since it uses less digits than its factorization.

413506590 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281321 (or 281314 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 33.

The square root of 413506590 is about 20334.8614453111. The cubic root of 413506590 is about 745.0077863547.

The spelling of 413506590 in words is "four hundred thirteen million, five hundred six thousand, five hundred ninety".