413310352 has 80 divisors (see below), whose sum is σ = 1017490432. Its totient is φ = 158215680.

The previous prime is 413310347. The next prime is 413310361. The reversal of 413310352 is 253013314.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40558 + ... + 49714.

Almost surely, 2^413310352 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 413310352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508745216).

413310352 is an abundant number, since it is smaller than the sum of its proper divisors (604180080).

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

413310352 is a wasteful number, since it uses less digits than its factorization.

413310352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9216 (or 9210 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 22.

The square root of 413310352 is about 20330.0357107409. The cubic root of 413310352 is about 744.8899148182.

Adding to 413310352 its reverse (253013314), we get a palindrome (666323666).

The spelling of 413310352 in words is "four hundred thirteen million, three hundred ten thousand, three hundred fifty-two".