413113200 has 120 divisors (see below), whose sum is σ = 1393065600. Its totient is φ = 104359680.

The previous prime is 413113193. The next prime is 413113229. The reversal of 413113200 is 2311314.

It is a tau number, because it is divible by the number of its divisors (120).

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 413113200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13741 + ... + 31859.

It is an arithmetic number, because the mean of its divisors is an integer number (11608880).

Almost surely, 2^413113200 is an apocalyptic number.

413113200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413113200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (696532800).

413113200 is an abundant number, since it is smaller than the sum of its proper divisors (979952400).

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

413113200 is a wasteful number, since it uses less digits than its factorization.

413113200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18159 (or 18148 counting only the distinct ones).

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

The square root of 413113200 is about 20325.1863460092. The cubic root of 413113200 is about 744.7714567052.

Adding to 413113200 its reverse (2311314), we get a palindrome (415424514).

The spelling of 413113200 in words is "four hundred thirteen million, one hundred thirteen thousand, two hundred".