413066024 has 64 divisors (see below), whose sum is σ = 919555200. Its totient is φ = 170198784.

The previous prime is 413066011. The next prime is 413066029. The reversal of 413066024 is 420660314.

It is a junction number, because it is equal to n+sod(n) for n = 413065984 and 413066002.

It is not an unprimeable number, because it can be changed into a prime (413066029) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 563162 + ... + 563894.

It is an arithmetic number, because the mean of its divisors is an integer number (14368050).

Almost surely, 2^413066024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413066024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459777600).

413066024 is an abundant number, since it is smaller than the sum of its proper divisors (506489176).

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

413066024 is a wasteful number, since it uses less digits than its factorization.

413066024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1122 (or 1118 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

The square root of 413066024 is about 20324.0257823100. The cubic root of 413066024 is about 744.7431055770.

The spelling of 413066024 in words is "four hundred thirteen million, sixty-six thousand, twenty-four".