413113350 has 192 divisors, whose sum is σ = 1177924608. Its totient is φ = 95040000.

The previous prime is 413113343. The next prime is 413113367. The reversal of 413113350 is 53311314.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2735775 + ... + 2735925.

It is an arithmetic number, because the mean of its divisors is an integer number (6135024).

Almost surely, 2^413113350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413113350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (588962304).

413113350 is an abundant number, since it is smaller than the sum of its proper divisors (764811258).

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

413113350 is a wasteful number, since it uses less digits than its factorization.

413113350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 413113350 is about 20325.1900360120. The cubic root of 413113350 is about 744.7715468465.

Adding to 413113350 its reverse (53311314), we get a palindrome (466424664).

The spelling of 413113350 in words is "four hundred thirteen million, one hundred thirteen thousand, three hundred fifty".