413301100 has 54 divisors (see below), whose sum is σ = 922063380. Its totient is φ = 160799040.

The previous prime is 413301067. The next prime is 413301101. The reversal of 413301100 is 1103314.

It is a super-2 number, since 2×413301100² = 341635598522420000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (413301101) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 135391 + ... + 138409.

Almost surely, 2^413301100 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 413301100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461031690).

413301100 is an abundant number, since it is smaller than the sum of its proper divisors (508762280).

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

413301100 is a wasteful number, since it uses less digits than its factorization.

413301100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3107 (or 3063 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 413301100 is about 20329.8081643679. The cubic root of 413301100 is about 744.8843566278.

Adding to 413301100 its reverse (1103314), we get a palindrome (414404414).

The spelling of 413301100 in words is "four hundred thirteen million, three hundred one thousand, one hundred".