413344100 has 36 divisors (see below), whose sum is σ = 965956404. Its totient is φ = 152618880.

The previous prime is 413344091. The next prime is 413344121. The reversal of 413344100 is 1443314.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 2390116 + 410953984 = 1546^2 + 20272^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 157679 + ... + 160278.

Almost surely, 2^413344100 is an apocalyptic number.

It is an amenable number.

413344100 is an abundant number, since it is smaller than the sum of its proper divisors (552612304).

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

413344100 is a wasteful number, since it uses less digits than its factorization.

413344100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317984 (or 317977 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 413344100 is about 20330.8656972594. The cubic root of 413344100 is about 744.9101884137.

Adding to 413344100 its reverse (1443314), we get a palindrome (414787414).

The spelling of 413344100 in words is "four hundred thirteen million, three hundred forty-four thousand, one hundred".