41790 has 32 divisors (see below), whose sum is σ = 115200. Its totient is φ = 9504.

The previous prime is 41777. The next prime is 41801. The reversal of 41790 is 9714.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 111 + ... + 309.

It is an arithmetic number, because the mean of its divisors is an integer number (3600).

2⁴¹⁷⁹⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57600).

41790 is an abundant number, since it is smaller than the sum of its proper divisors (73410).

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

41790 is a wasteful number, since it uses less digits than its factorization.

41790 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216.

The product of its (nonzero) digits is 252, while the sum is 21.

The square root of 41790 is about 204.4260257404. The cubic root of 41790 is about 34.7022358460.

The spelling of 41790 in words is "forty-one thousand, seven hundred ninety".