290985984 has 72 divisors (see below), whose sum is σ = 840474180. Its totient is φ = 96989184.

The previous prime is 290985983. The next prime is 290985997. The reversal of 290985984 is 489589092.

It is a tau number, because it is divible by the number of its divisors (72).

It is a self number, because there is not a number n which added to its sum of digits gives 290985984.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (290985983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10539 + ... + 26325.

Almost surely, 2^290985984 is an apocalyptic number.

290985984 is a gapful number since it is divisible by the number (24) 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 290985984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420237090).

290985984 is an abundant number, since it is smaller than the sum of its proper divisors (549488196).

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

290985984 is a wasteful number, since it uses less digits than its factorization.

290985984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15815 (or 15792 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The square root of 290985984 is about 17058.3112880496. The cubic root of 290985984 is about 662.6598994127.

The spelling of 290985984 in words is "two hundred ninety million, nine hundred eighty-five thousand, nine hundred eighty-four".