413004144 has 120 divisors (see below), whose sum is σ = 1255700880. Its totient is φ = 116616192.

The previous prime is 413004107. The next prime is 413004199. The reversal of 413004144 is 441400314.

It is a super-2 number, since 2×413004144² = 341144845922345472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 413004144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 208342 + ... + 210314.

It is an arithmetic number, because the mean of its divisors is an integer number (10464174).

Almost surely, 2^413004144 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 413004144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (627850440).

413004144 is an abundant number, since it is smaller than the sum of its proper divisors (842696736).

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

413004144 is a wasteful number, since it uses less digits than its factorization.

413004144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2087 (or 2074 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 413004144 is about 20322.5033891005. The cubic root of 413004144 is about 744.7059145857.

Adding to 413004144 its reverse (441400314), we get a palindrome (854404458).

The spelling of 413004144 in words is "four hundred thirteen million, four thousand, one hundred forty-four".