41983200 has 432 divisors, whose sum is σ = 182800800. Its totient is φ = 9031680.

The previous prime is 41983199. The next prime is 41983231. The reversal of 41983200 is 238914.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2469592 + ... + 2469608.

It is an arithmetic number, because the mean of its divisors is an integer number (423150).

Almost surely, 2^41983200 is an apocalyptic number.

41983200 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 41983200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91400400).

41983200 is an abundant number, since it is smaller than the sum of its proper divisors (140817600).

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

41983200 is a wasteful number, since it uses less digits than its factorization.

41983200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 41983200 is about 6479.4444206274. Note that the first 4 decimals coincide. The cubic root of 41983200 is about 347.5563112857.

The spelling of 41983200 in words is "forty-one million, nine hundred eighty-three thousand, two hundred".