290224 has 40 divisors (see below), whose sum is σ = 656208. Its totient is φ = 122880.

The previous prime is 290219. The next prime is 290233. The reversal of 290224 is 422092.

It is a happy number.

It is a super-3 number, since 3×290224³ = 73336676593078272, which contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2944 + ... + 3040.

2²⁹⁰²²⁴ 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 290224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328104).

290224 is an abundant number, since it is smaller than the sum of its proper divisors (365984).

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

290224 is a wasteful number, since it uses less digits than its factorization.

290224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 290224 is about 538.7244193463. The cubic root of 290224 is about 66.2080973900.

It can be divided in two parts, 2902 and 24, that added together give a triangular number (2926 = T₇₆).

The spelling of 290224 in words is "two hundred ninety thousand, two hundred twenty-four".