290848 has 24 divisors (see below), whose sum is σ = 585900. Its totient is φ = 142080.

The previous prime is 290839. The next prime is 290861. The reversal of 290848 is 848092.

It can be written as a sum of positive squares in 2 ways, for example, as 219024 + 71824 = 468^2 + 268^2 .

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

290848 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1878 + ... + 2026.

2²⁹⁰⁸⁴⁸ 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 290848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292950).

290848 is an abundant number, since it is smaller than the sum of its proper divisors (295052).

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

290848 is a wasteful number, since it uses less digits than its factorization.

290848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 31.

The square root of 290848 is about 539.3032542086. The cubic root of 290848 is about 66.2555139590.

It can be divided in two parts, 29084 and 8, that added together give a palindrome (29092).

The spelling of 290848 in words is "two hundred ninety thousand, eight hundred forty-eight".