405288 has 48 divisors (see below), whose sum is σ = 1184820. Its totient is φ = 124416.

The previous prime is 405287. The next prime is 405299. The reversal of 405288 is 882504.

It can be written as a sum of positive squares in 2 ways, for example, as 338724 + 66564 = 582^2 + 258^2 .

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (405287) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 720 + ... + 1152.

2⁴⁰⁵²⁸⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 405288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (592410).

405288 is an abundant number, since it is smaller than the sum of its proper divisors (779532).

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

405288 is a wasteful number, since it uses less digits than its factorization.

405288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 405288 is about 636.6223370256. The cubic root of 405288 is about 74.0038955826.

The spelling of 405288 in words is "four hundred five thousand, two hundred eighty-eight".