405738 has 12 divisors (see below), whose sum is σ = 879138. Its totient is φ = 135240.

The previous prime is 405731. The next prime is 405749. The reversal of 405738 is 837504.

405738 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 294849 + 110889 = 543^2 + 333^2 .

It is not an unprimeable number, because it can be changed into a prime (405731) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11253 + ... + 11288.

2⁴⁰⁵⁷³⁸ is an apocalyptic number.

405738 is an abundant number, since it is smaller than the sum of its proper divisors (473400).

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

405738 is a wasteful number, since it uses less digits than its factorization.

405738 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22549 (or 22546 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 405738 is about 636.9756667252. The cubic root of 405738 is about 74.0312748252.

It can be divided in two parts, 4057 and 38, that added together give a triangular number (4095 = T₉₀).

The spelling of 405738 in words is "four hundred five thousand, seven hundred thirty-eight".