290242092 has 72 divisors (see below), whose sum is σ = 815013360. Its totient is φ = 80062080.

The previous prime is 290242049. The next prime is 290242133.

290242092 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8542 + ... + 25562.

It is an arithmetic number, because the mean of its divisors is an integer number (11319630).

Almost surely, 2^290242092 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 290242092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407506680).

290242092 is an abundant number, since it is smaller than the sum of its proper divisors (524771268).

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

290242092 is a wasteful number, since it uses less digits than its factorization.

290242092 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17071 (or 17062 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 290242092 is about 17036.4929489611. The cubic root of 290242092 is about 662.0947312279.

The spelling of 290242092 in words is "two hundred ninety million, two hundred forty-two thousand, ninety-two".