405968 has 10 divisors (see below), whose sum is σ = 786594. Its totient is φ = 202976.

The previous prime is 405967. The next prime is 405989. The reversal of 405968 is 869504.

It can be written as a sum of positive squares in only one way, i.e., 222784 + 183184 = 472^2 + 428^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405967) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 12671 + ... + 12702.

2⁴⁰⁵⁹⁶⁸ is an apocalyptic number.

It is an amenable number.

405968 is a deficient number, since it is larger than the sum of its proper divisors (380626).

405968 is a wasteful number, since it uses less digits than its factorization.

405968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25381 (or 25375 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 32.

The square root of 405968 is about 637.1561817953. The cubic root of 405968 is about 74.0452608431.

It can be divided in two parts, 40596 and 8, that added together give a palindrome (40604).

The spelling of 405968 in words is "four hundred five thousand, nine hundred sixty-eight".