413414200 has 24 divisors (see below), whose sum is σ = 961188480. Its totient is φ = 165365600.

The previous prime is 413414161. The next prime is 413414201. The reversal of 413414200 is 2414314.

It is a super-2 number, since 2×413414200² = 341822601523280000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413414201) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1033336 + ... + 1033735.

It is an arithmetic number, because the mean of its divisors is an integer number (40049520).

Almost surely, 2^413414200 is an apocalyptic number.

413414200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

413414200 is an abundant number, since it is smaller than the sum of its proper divisors (547774280).

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

413414200 is a wasteful number, since it uses less digits than its factorization.

413414200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2067087 (or 2067078 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 413414200 is about 20332.5896038847. The cubic root of 413414200 is about 744.9522963915.

Adding to 413414200 its reverse (2414314), we get a palindrome (415828514).

The spelling of 413414200 in words is "four hundred thirteen million, four hundred fourteen thousand, two hundred".