413321100 has 36 divisors (see below), whose sum is σ = 1195876584. Its totient is φ = 110218880.

The previous prime is 413321099. The next prime is 413321101. The reversal of 413321100 is 1123314.

It is an interprime number because it is at equal distance from previous prime (413321099) and next prime (413321101).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 413321100.

It is not an unprimeable number, because it can be changed into a prime (413321101) 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 11 ways as a sum of consecutive naturals, for example, 688569 + ... + 689168.

It is an arithmetic number, because the mean of its divisors is an integer number (33218794).

Almost surely, 2^413321100 is an apocalyptic number.

It is an amenable number.

413321100 is an abundant number, since it is smaller than the sum of its proper divisors (782555484).

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

413321100 is a wasteful number, since it uses less digits than its factorization.

413321100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1377754 (or 1377747 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 413321100 is about 20330.3000469742. The cubic root of 413321100 is about 744.8963716348.

Adding to 413321100 its reverse (1123314), we get a palindrome (414444414).

The spelling of 413321100 in words is "four hundred thirteen million, three hundred twenty-one thousand, one hundred".