413210000 has 100 divisors (see below), whose sum is σ = 1143533952. Its totient is φ = 141648000.

The previous prime is 413209999. The next prime is 413210011. The reversal of 413210000 is 12314.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (100).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 67049 + ... + 72951.

Almost surely, 2^413210000 is an apocalyptic number.

413210000 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 413210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (571766976).

413210000 is an abundant number, since it is smaller than the sum of its proper divisors (730323952).

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

413210000 is an equidigital number, since it uses as much as digits as its factorization.

413210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5938 (or 5917 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 413210000 is about 20327.5674885118. The cubic root of 413210000 is about 744.8296233665.

Adding to 413210000 its reverse (12314), we get a palindrome (413222314).

The spelling of 413210000 in words is "four hundred thirteen million, two hundred ten thousand".