413343200 has 36 divisors (see below), whose sum is σ = 1009076040. Its totient is φ = 165336960.

The previous prime is 413343193. The next prime is 413343209. The reversal of 413343200 is 2343314.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413343209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 257540 + ... + 259139.

It is an arithmetic number, because the mean of its divisors is an integer number (28029890).

Almost surely, 2^413343200 is an apocalyptic number.

413343200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

413343200 is an abundant number, since it is smaller than the sum of its proper divisors (595732840).

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

413343200 is a wasteful number, since it uses less digits than its factorization.

413343200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516699 (or 516686 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 413343200 is about 20330.8435634137. The cubic root of 413343200 is about 744.9096477668.

Adding to 413343200 its reverse (2343314), we get a palindrome (415686514).

The spelling of 413343200 in words is "four hundred thirteen million, three hundred forty-three thousand, two hundred".