412712200 has 24 divisors (see below), whose sum is σ = 959556330. Its totient is φ = 165084800.

The previous prime is 412712197. The next prime is 412712203. The reversal of 412712200 is 2217214.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (412712197) and next prime (412712203).

It can be written as a sum of positive squares in 3 ways, for example, as 241678116 + 171034084 = 15546^2 + 13078^2 .

It is not an unprimeable number, because it can be changed into a prime (412712203) 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, 1031581 + ... + 1031980.

Almost surely, 2^412712200 is an apocalyptic number.

412712200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

412712200 is an abundant number, since it is smaller than the sum of its proper divisors (546844130).

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

412712200 is a wasteful number, since it uses less digits than its factorization.

412712200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2063577 (or 2063568 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 19.

The square root of 412712200 is about 20315.3193428014. The cubic root of 412712200 is about 744.5304008732.

Adding to 412712200 its reverse (2217214), we get a palindrome (414929414).

The spelling of 412712200 in words is "four hundred twelve million, seven hundred twelve thousand, two hundred".