413003000 has 64 divisors (see below), whose sum is σ = 1017338400. Its totient is φ = 156499200.

The previous prime is 413002957. The next prime is 413003021. The reversal of 413003000 is 300314.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8132 + ... + 29868.

Almost surely, 2^413003000 is an apocalyptic number.

413003000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413003000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508669200).

413003000 is an abundant number, since it is smaller than the sum of its proper divisors (604335400).

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

413003000 is a wasteful number, since it uses less digits than its factorization.

413003000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21777 (or 21763 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 11.

The square root of 413003000 is about 20322.4752429422. The cubic root of 413003000 is about 744.7052269861.

Adding to 413003000 its reverse (300314), we get a palindrome (413303314).

The spelling of 413003000 in words is "four hundred thirteen million, three thousand".