290940 has 48 divisors (see below), whose sum is σ = 879648. Its totient is φ = 71424.

The previous prime is 290923. The next prime is 290959. The reversal of 290940 is 49092.

290940 = 65² + 66² + ... + 104².

290940 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 290940.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 290940.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 594 + ... + 966.

It is an arithmetic number, because the mean of its divisors is an integer number (18326).

2²⁹⁰⁹⁴⁰ is an apocalyptic number.

290940 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 290940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439824).

290940 is an abundant number, since it is smaller than the sum of its proper divisors (588708).

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

290940 is a wasteful number, since it uses less digits than its factorization.

290940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 290940 is about 539.3885427037. The cubic root of 290940 is about 66.2624991250.

The spelling of 290940 in words is "two hundred ninety thousand, nine hundred forty".