405944 has 32 divisors (see below), whose sum is σ = 950400. Its totient is φ = 157920.

The previous prime is 405917. The next prime is 405947. The reversal of 405944 is 449504.

405944 = T₁₈₁ + T₁₈₂ + ... + T₂₀₂.

It is a super-2 number, since 2×405944² = 329581062272, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405947) by changing a digit.

405944 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 287 + ... + 945.

It is an arithmetic number, because the mean of its divisors is an integer number (29700).

2⁴⁰⁵⁹⁴⁴ is an apocalyptic number.

405944 is a gapful number since it is divisible by the number (44) 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 405944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475200).

405944 is an abundant number, since it is smaller than the sum of its proper divisors (544456).

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

405944 is a wasteful number, since it uses less digits than its factorization.

405944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 683 (or 679 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 405944 is about 637.1373478301. The cubic root of 405944 is about 74.0438016794.

The spelling of 405944 in words is "four hundred five thousand, nine hundred forty-four".