413023680 has 168 divisors, whose sum is σ = 1444532544. Its totient is φ = 108288000.

The previous prime is 413023669. The next prime is 413023693. The reversal of 413023680 is 86320314.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 174505 + ... + 176855.

It is an arithmetic number, because the mean of its divisors is an integer number (8598408).

Almost surely, 2^413023680 is an apocalyptic number.

413023680 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 413023680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (722266272).

413023680 is an abundant number, since it is smaller than the sum of its proper divisors (1031508864).

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

413023680 is a wasteful number, since it uses less digits than its factorization.

413023680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2435 (or 2422 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 413023680 is about 20322.9840328629. The cubic root of 413023680 is about 744.7176564738.

Adding to 413023680 its reverse (86320314), we get a palindrome (499343994).

The spelling of 413023680 in words is "four hundred thirteen million, twenty-three thousand, six hundred eighty".