405387 has 12 divisors (see below), whose sum is σ = 604864. Its totient is φ = 261360.

The previous prime is 405373. The next prime is 405401. The reversal of 405387 is 783504.

It is an interprime number because it is at equal distance from previous prime (405373) and next prime (405401).

It is not a de Polignac number, because 405387 - 2⁶ = 405323 is a prime.

It is a Duffinian number.

405387 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 405387.

It is not an unprimeable number, because it can be changed into a prime (405347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 448 + ... + 1005.

2⁴⁰⁵³⁸⁷ is an apocalyptic number.

405387 is a deficient number, since it is larger than the sum of its proper divisors (199477).

405387 is a wasteful number, since it uses less digits than its factorization.

405387 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1490 (or 1487 counting only the distinct ones).

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

The square root of 405387 is about 636.7000863829. The cubic root of 405387 is about 74.0099207542.

The spelling of 405387 in words is "four hundred five thousand, three hundred eighty-seven".