405468 has 36 divisors (see below), whose sum is σ = 1172080. Its totient is φ = 115776.

The previous prime is 405439. The next prime is 405473. The reversal of 405468 is 864504.

405468 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 405468.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 553 + ... + 1056.

2⁴⁰⁵⁴⁶⁸ is an apocalyptic number.

It is an amenable number.

405468 is an abundant number, since it is smaller than the sum of its proper divisors (766612).

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

405468 is a wasteful number, since it uses less digits than its factorization.

405468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1626 (or 1621 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 405468 is about 636.7636924323. The cubic root of 405468 is about 74.0148497104.

The spelling of 405468 in words is "four hundred five thousand, four hundred sixty-eight".