405200 has 30 divisors (see below), whose sum is σ = 974454. Its totient is φ = 161920.

The previous prime is 405199. The next prime is 405211. The reversal of 405200 is 2504.

It can be written as a sum of positive squares in 3 ways, for example, as 5776 + 399424 = 76^2 + 632^2 .

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 405200.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 107 + ... + 906.

2⁴⁰⁵²⁰⁰ is an apocalyptic number.

405200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

405200 is an abundant number, since it is smaller than the sum of its proper divisors (569254).

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

405200 is a wasteful number, since it uses less digits than its factorization.

405200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1031 (or 1020 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 11.

The square root of 405200 is about 636.5532185136. The cubic root of 405200 is about 73.9985390508.

Adding to 405200 its reverse (2504), we get a palindrome (407704).

The spelling of 405200 in words is "four hundred five thousand, two hundred".