413144010 has 64 divisors (see below), whose sum is σ = 1122543360. Its totient is φ = 108089280.

The previous prime is 413143949. The next prime is 413144041. The reversal of 413144010 is 10441314.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 126 + ... + 28745.

It is an arithmetic number, because the mean of its divisors is an integer number (17539740).

Almost surely, 2^413144010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413144010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (561271680).

413144010 is an abundant number, since it is smaller than the sum of its proper divisors (709399350).

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

413144010 is a wasteful number, since it uses less digits than its factorization.

413144010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28940 (or 28934 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 413144010 is about 20325.9442585086. The cubic root of 413144010 is about 744.7899712738.

Adding to 413144010 its reverse (10441314), we get a palindrome (423585324).

The spelling of 413144010 in words is "four hundred thirteen million, one hundred forty-four thousand, ten".