412432200 has 144 divisors (see below), whose sum is σ = 1433027700. Its totient is φ = 106176000.

The previous prime is 412432199. The next prime is 412432201. The reversal of 412432200 is 2234214.

It is an interprime number because it is at equal distance from previous prime (412432199) and next prime (412432201).

It can be written as a sum of positive squares in 6 ways, for example, as 192265956 + 220166244 = 13866^2 + 14838^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (412432201) 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 35 ways as a sum of consecutive naturals, for example, 48250 + ... + 56150.

Almost surely, 2^412432200 is an apocalyptic number.

412432200 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 412432200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (716513850).

412432200 is an abundant number, since it is smaller than the sum of its proper divisors (1020595500).

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

412432200 is a wasteful number, since it uses less digits than its factorization.

412432200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7952 (or 7940 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 412432200 is about 20308.4268223809. The cubic root of 412432200 is about 744.3619899931.

Adding to 412432200 its reverse (2234214), we get a palindrome (414666414).

The spelling of 412432200 in words is "four hundred twelve million, four hundred thirty-two thousand, two hundred".