900224 has 32 divisors (see below), whose sum is σ = 1934940. Its totient is φ = 414720.

The previous prime is 900217. The next prime is 900233. The reversal of 900224 is 422009.

It can be written as a sum of positive squares in 2 ways, for example, as 846400 + 53824 = 920^2 + 232^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-3 number, since 3×900224³ = 2188633366459318272, which contains 333 as substring.

It is an unprimeable number.

900224 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1394 + ... + 1934.

2⁹⁰⁰²²⁴ 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 900224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (967470).

900224 is an abundant number, since it is smaller than the sum of its proper divisors (1034716).

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

900224 is a wasteful number, since it uses less digits than its factorization.

900224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 568 (or 556 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 900224 is about 948.8013490716. The cubic root of 900224 is about 96.5569477821.

The spelling of 900224 in words is "nine hundred thousand, two hundred twenty-four".