290243040 has 96 divisors (see below), whose sum is σ = 968073120. Its totient is φ = 72843264.

The previous prime is 290243039. The next prime is 290243081. The reversal of 290243040 is 40342092.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 290243040.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9625 + ... + 25944.

It is an arithmetic number, because the mean of its divisors is an integer number (10084095).

Almost surely, 2^290243040 is an apocalyptic number.

290243040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

290243040 is an abundant number, since it is smaller than the sum of its proper divisors (677830080).

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

290243040 is a wasteful number, since it uses less digits than its factorization.

290243040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35604 (or 35596 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 290243040 is about 17036.5207715660. The cubic root of 290243040 is about 662.0954520803.

The spelling of 290243040 in words is "two hundred ninety million, two hundred forty-three thousand, forty".