905200 has 60 divisors (see below), whose sum is σ = 2275648. Its totient is φ = 345600.

The previous prime is 905197. The next prime is 905207. The reversal of 905200 is 2509.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (905207) 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 11 ways as a sum of consecutive naturals, for example, 12364 + ... + 12436.

2⁹⁰⁵²⁰⁰ 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 905200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1137824).

905200 is an abundant number, since it is smaller than the sum of its proper divisors (1370448).

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

905200 is a wasteful number, since it uses less digits than its factorization.

905200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 16.

The square root of 905200 is about 951.4199913813. The cubic root of 905200 is about 96.7345275909.

Adding to 905200 its reverse (2509), we get a palindrome (907709).

The spelling of 905200 in words is "nine hundred five thousand, two hundred".