405792 has 36 divisors (see below), whose sum is σ = 1154790. Its totient is φ = 135168.

The previous prime is 405781. The next prime is 405799. The reversal of 405792 is 297504.

It can be written as a sum of positive squares in only one way, i.e., 404496 + 1296 = 636^2 + 36^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 405792.

It is not an unprimeable number, because it can be changed into a prime (405799) by changing a digit.

405792 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 5 ways as a sum of consecutive naturals, for example, 417 + ... + 992.

2⁴⁰⁵⁷⁹² is an apocalyptic number.

It is an amenable number.

405792 is an abundant number, since it is smaller than the sum of its proper divisors (748998).

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

405792 is a wasteful number, since it uses less digits than its factorization.

405792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1425 (or 1414 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 405792 is about 637.0180531194. The cubic root of 405792 is about 74.0345589736.

It can be divided in two parts, 40 and 5792, that added together give a cube (5832 = 18³).

The spelling of 405792 in words is "four hundred five thousand, seven hundred ninety-two".