413085726 has 96 divisors (see below), whose sum is σ = 994406400. Its totient is φ = 123405120.

The previous prime is 413085719. The next prime is 413085731. The reversal of 413085726 is 627580314.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 497880 + ... + 498708.

It is an arithmetic number, because the mean of its divisors is an integer number (10358400).

Almost surely, 2^413085726 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413085726, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (497203200).

413085726 is an abundant number, since it is smaller than the sum of its proper divisors (581320674).

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

413085726 is a wasteful number, since it uses less digits than its factorization.

413085726 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 934 (or 931 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 413085726 is about 20324.5104738097. The cubic root of 413085726 is about 744.7549460533.

The spelling of 413085726 in words is "four hundred thirteen million, eighty-five thousand, seven hundred twenty-six".