40446 has 32 divisors (see below), whose sum is σ = 103680. Its totient is φ = 11448.

The previous prime is 40433. The next prime is 40459. The reversal of 40446 is 64404.

It is an interprime number because it is at equal distance from previous prime (40433) and next prime (40459).

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

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 40446.

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, 325 + ... + 431.

It is an arithmetic number, because the mean of its divisors is an integer number (3240).

2⁴⁰⁴⁴⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40446, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51840).

40446 is an abundant number, since it is smaller than the sum of its proper divisors (63234).

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

40446 is a wasteful number, since it uses less digits than its factorization.

40446 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 40446 is about 201.1119091451. Note that the first 3 decimals coincide. The cubic root of 40446 is about 34.3261576315.

The spelling of 40446 in words is "forty thousand, four hundred forty-six".