41805000 has 120 divisors (see below), whose sum is σ = 141634350. Its totient is φ = 11136000.

The previous prime is 41804993. The next prime is 41805017. The reversal of 41805000 is 50814.

It can be written as a sum of positive squares in 5 ways, for example, as 1887876 + 39917124 = 1374^2 + 6318^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 44536 + ... + 45464.

Almost surely, 2^41805000 is an apocalyptic number.

41805000 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 41805000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70817175).

41805000 is an abundant number, since it is smaller than the sum of its proper divisors (99829350).

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

41805000 is a wasteful number, since it uses less digits than its factorization.

41805000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 961 (or 939 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 41805000 is about 6465.6786186757. The cubic root of 41805000 is about 347.0638732782.

Adding to 41805000 its reverse (50814), we get a palindrome (41855814).

It can be divided in two parts, 4180 and 5000, that added together give a triangular number (9180 = T₁₃₅).

The spelling of 41805000 in words is "forty-one million, eight hundred five thousand".