413321580 has 144 divisors (see below), whose sum is σ = 1440251904. Its totient is φ = 93985920.

The previous prime is 413321551. The next prime is 413321603. The reversal of 413321580 is 85123314.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 280245 + ... + 281715.

Almost surely, 2^413321580 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 413321580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (720125952).

413321580 is an abundant number, since it is smaller than the sum of its proper divisors (1026930324).

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

413321580 is a wasteful number, since it uses less digits than its factorization.

413321580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1716 (or 1711 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 413321580 is about 20330.3118520105. The cubic root of 413321580 is about 744.8966599902.

Adding to 413321580 its reverse (85123314), we get a palindrome (498444894).

The spelling of 413321580 in words is "four hundred thirteen million, three hundred twenty-one thousand, five hundred eighty".