405712 has 10 divisors (see below), whose sum is σ = 786098. Its totient is φ = 202848.

The previous prime is 405709. The next prime is 405719. The reversal of 405712 is 217504.

It can be written as a sum of positive squares in only one way, i.e., 318096 + 87616 = 564^2 + 296^2 .

It is a plaindrome in base 11 and base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 405712.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405719) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 12663 + ... + 12694.

2⁴⁰⁵⁷¹² is an apocalyptic number.

It is an amenable number.

405712 is a deficient number, since it is larger than the sum of its proper divisors (380386).

405712 is a wasteful number, since it uses less digits than its factorization.

405712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25365 (or 25359 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 19.

The square root of 405712 is about 636.9552574553. The cubic root of 405712 is about 74.0296934646.

It can be divided in two parts, 4057 and 12, that multiplied together give a palindrome (48684).

The spelling of 405712 in words is "four hundred five thousand, seven hundred twelve".