413042004 has 120 divisors (see below), whose sum is σ = 1153817280. Its totient is φ = 128532096.

The previous prime is 413041943. The next prime is 413042009. The reversal of 413042004 is 400240314.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413042009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 319792 + ... + 321080.

It is an arithmetic number, because the mean of its divisors is an integer number (9615144).

Almost surely, 2^413042004 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 413042004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576908640).

413042004 is an abundant number, since it is smaller than the sum of its proper divisors (740775276).

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

413042004 is a wasteful number, since it uses less digits than its factorization.

413042004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1371 (or 1360 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 413042004 is about 20323.4348474858. The cubic root of 413042004 is about 744.7286695667.

Adding to 413042004 its reverse (400240314), we get a palindrome (813282318).

The spelling of 413042004 in words is "four hundred thirteen million, forty-two thousand, four".