413145450 has 144 divisors (see below), whose sum is σ = 1148337216. Its totient is φ = 106444800.

The previous prime is 413145433. The next prime is 413145451. The reversal of 413145450 is 54541314.

It is a happy number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (413145451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2140554 + ... + 2140746.

It is an arithmetic number, because the mean of its divisors is an integer number (7974564).

Almost surely, 2^413145450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413145450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574168608).

413145450 is an abundant number, since it is smaller than the sum of its proper divisors (735191766).

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

413145450 is a wasteful number, since it uses less digits than its factorization.

413145450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 413145450 is about 20325.9796811863. The cubic root of 413145450 is about 744.7908365866.

Adding to 413145450 its reverse (54541314), we get a palindrome (467686764).

It can be divided in two parts, 413145 and 450, that added together give a triangular number (413595 = T₉₀₉).

The spelling of 413145450 in words is "four hundred thirteen million, one hundred forty-five thousand, four hundred fifty".