900405 has 48 divisors (see below), whose sum is σ = 1819584. Its totient is φ = 407040.

The previous prime is 900397. The next prime is 900409. The reversal of 900405 is 504009.

It is not a de Polignac number, because 900405 - 2³ = 900397 is a prime.

900405 is a modest number, since divided by 405 gives 90 as remainder.

It is a Curzon number.

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 (900409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8362 + ... + 8468.

It is an arithmetic number, because the mean of its divisors is an integer number (37908).

2⁹⁰⁰⁴⁰⁵ is an apocalyptic number.

It is an amenable number.

900405 is an abundant number, since it is smaller than the sum of its proper divisors (919179).

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

900405 is a wasteful number, since it uses less digits than its factorization.

900405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 900405 is about 948.8967277844. The cubic root of 900405 is about 96.5634186295.

The spelling of 900405 in words is "nine hundred thousand, four hundred five".