413412100 has 36 divisors (see below), whose sum is σ = 921358564. Its totient is φ = 160894080.

The previous prime is 413412091. The next prime is 413412101. The reversal of 413412100 is 1214314.

It can be written as a sum of positive squares in 6 ways, for example, as 11168964 + 402243136 = 3342^2 + 20056^2 .

It is not an unprimeable number, because it can be changed into a prime (413412101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 52167 + ... + 59566.

Almost surely, 2^413412100 is an apocalyptic number.

It is an amenable number.

413412100 is an abundant number, since it is smaller than the sum of its proper divisors (507946464).

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

413412100 is a wasteful number, since it uses less digits than its factorization.

413412100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111784 (or 111777 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 413412100 is about 20332.5379625860. The cubic root of 413412100 is about 744.9510350234.

Adding to 413412100 its reverse (1214314), we get a palindrome (414626414).

The spelling of 413412100 in words is "four hundred thirteen million, four hundred twelve thousand, one hundred".