290985000 has 160 divisors (see below), whose sum is σ = 957818400. Its totient is φ = 73440000.

The previous prime is 290984987. The next prime is 290985017. The reversal of 290985000 is 589092.

290985000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 284490 + ... + 285510.

It is an arithmetic number, because the mean of its divisors is an integer number (5986365).

Almost surely, 2^290985000 is an apocalyptic number.

290985000 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 290985000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478909200).

290985000 is an abundant number, since it is smaller than the sum of its proper divisors (666833400).

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

290985000 is a wasteful number, since it uses less digits than its factorization.

290985000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1069 (or 1050 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 33.

The square root of 290985000 is about 17058.2824457798. The cubic root of 290985000 is about 662.6591524603.

The spelling of 290985000 in words is "two hundred ninety million, nine hundred eighty-five thousand".