41905000 has 120 divisors (see below), whose sum is σ = 107895150. Its totient is φ = 15232000.

The previous prime is 41904991. The next prime is 41905009. The reversal of 41905000 is 50914.

It is an interprime number because it is at equal distance from previous prime (41904991) and next prime (41905009).

It can be written as a sum of positive squares in 15 ways, for example, as 5447556 + 36457444 = 2334^2 + 6038^2 .

It is not an unprimeable number, because it can be changed into a prime (41905009) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1444986 + ... + 1445014.

Almost surely, 2^41905000 is an apocalyptic number.

41905000 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 41905000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53947575).

41905000 is an abundant number, since it is smaller than the sum of its proper divisors (65990150).

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

41905000 is a wasteful number, since it uses less digits than its factorization.

41905000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 19.

The square root of 41905000 is about 6473.4071399843. The cubic root of 41905000 is about 347.3403852649.

Adding to 41905000 its reverse (50914), we get a palindrome (41955914).

The spelling of 41905000 in words is "forty-one million, nine hundred five thousand".