405375 has 32 divisors (see below), whose sum is σ = 718848. Its totient is φ = 202400.

The previous prime is 405373. The next prime is 405401. The reversal of 405375 is 573504.

It is not a de Polignac number, because 405375 - 2¹ = 405373 is a prime.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a plaindrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405373) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8602 + ... + 8648.

It is an arithmetic number, because the mean of its divisors is an integer number (22464).

2⁴⁰⁵³⁷⁵ is an apocalyptic number.

405375 is a deficient number, since it is larger than the sum of its proper divisors (313473).

405375 is a wasteful number, since it uses less digits than its factorization.

405375 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 24.

The square root of 405375 is about 636.6906627241. The cubic root of 405375 is about 74.0091904826.

Adding to 405375 its reverse (573504), we get a palindrome (978879).

It can be divided in two parts, 405 and 375, that added together give a triangular number (780 = T₃₉).

The spelling of 405375 in words is "four hundred five thousand, three hundred seventy-five".