412283200 has 168 divisors, whose sum is σ = 1172407104. Its totient is φ = 139776000.

The previous prime is 412283197. The next prime is 412283213. The reversal of 412283200 is 2382214.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1467060 + ... + 1467340.

Almost surely, 2^412283200 is an apocalyptic number.

412283200 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 412283200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (586203552).

412283200 is an abundant number, since it is smaller than the sum of its proper divisors (760123904).

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

412283200 is a wasteful number, since it uses less digits than its factorization.

412283200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 412283200 is about 20304.7580630748. The cubic root of 412283200 is about 744.2723402718.

The spelling of 412283200 in words is "four hundred twelve million, two hundred eighty-three thousand, two hundred".