405744 has 40 divisors (see below), whose sum is σ = 1071360. Its totient is φ = 132288.

The previous prime is 405731. The next prime is 405749. The reversal of 405744 is 447504.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405749) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3739 + ... + 3845.

It is an arithmetic number, because the mean of its divisors is an integer number (26784).

2⁴⁰⁵⁷⁴⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 405744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535680).

405744 is an abundant number, since it is smaller than the sum of its proper divisors (665616).

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

405744 is a wasteful number, since it uses less digits than its factorization.

405744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 24.

The square root of 405744 is about 636.9803764638. The cubic root of 405744 is about 74.0316397449.

The spelling of 405744 in words is "four hundred five thousand, seven hundred forty-four".