413311200 has 72 divisors (see below), whose sum is σ = 1345335768. Its totient is φ = 110215680.

The previous prime is 413311193. The next prime is 413311207. The reversal of 413311200 is 2113314.

It is an interprime number because it is at equal distance from previous prime (413311193) and next prime (413311207).

It is a super-2 number, since 2×413311200² = 341652296090880000, which contains 22 as substring.

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 413311200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413311207) 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, 83707 + ... + 88506.

It is an arithmetic number, because the mean of its divisors is an integer number (18685219).

Almost surely, 2^413311200 is an apocalyptic number.

413311200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

413311200 is an abundant number, since it is smaller than the sum of its proper divisors (932024568).

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

413311200 is a wasteful number, since it uses less digits than its factorization.

413311200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172236 (or 172223 counting only the distinct ones).

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

The square root of 413311200 is about 20330.0565665716. The cubic root of 413311200 is about 744.8904242548.

Adding to 413311200 its reverse (2113314), we get a palindrome (415424514).

The spelling of 413311200 in words is "four hundred thirteen million, three hundred eleven thousand, two hundred".