413421300 has 144 divisors (see below), whose sum is σ = 1407409920. Its totient is φ = 103749120.

The previous prime is 413421277. The next prime is 413421329. The reversal of 413421300 is 3124314.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 41397 + ... + 50403.

It is an arithmetic number, because the mean of its divisors is an integer number (9773680).

Almost surely, 2^413421300 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 413421300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (703704960).

413421300 is an abundant number, since it is smaller than the sum of its proper divisors (993988620).

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

413421300 is a wasteful number, since it uses less digits than its factorization.

413421300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9047 (or 9034 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 413421300 is about 20332.7641996852. The cubic root of 413421300 is about 744.9565609854.

Adding to 413421300 its reverse (3124314), we get a palindrome (416545614).

The spelling of 413421300 in words is "four hundred thirteen million, four hundred twenty-one thousand, three hundred".