412043200 has 168 divisors, whose sum is σ = 1066391568. Its totient is φ = 156549120.

The previous prime is 412043167. The next prime is 412043209. The reversal of 412043200 is 2340214.

412043200 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412043209) 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 23 ways as a sum of consecutive naturals, for example, 3646344 + ... + 3646456.

Almost surely, 2^412043200 is an apocalyptic number.

412043200 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 412043200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (533195784).

412043200 is an abundant number, since it is smaller than the sum of its proper divisors (654348368).

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

412043200 is a wasteful number, since it uses less digits than its factorization.

412043200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 412043200 is about 20298.8472579110. The cubic root of 412043200 is about 744.1278926093.

Adding to 412043200 its reverse (2340214), we get a palindrome (414383414).

The spelling of 412043200 in words is "four hundred twelve million, forty-three thousand, two hundred".