290225040 has 480 divisors, whose sum is σ = 1160282880. Its totient is φ = 59609088.

The previous prime is 290225029. The next prime is 290225041. The reversal of 290225040 is 40522092.

It is a super-3 number, since 3×290225040³ (a number of 26 digits) contains 333 as substring.

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 290225040.

It is not an unprimeable number, because it can be changed into a prime (290225041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7843902 + ... + 7843938.

It is an arithmetic number, because the mean of its divisors is an integer number (2417256).

Almost surely, 2^290225040 is an apocalyptic number.

290225040 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 290225040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580141440).

290225040 is an abundant number, since it is smaller than the sum of its proper divisors (870057840).

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

290225040 is a wasteful number, since it uses less digits than its factorization.

290225040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 290225040 is about 17035.9924864975. The cubic root of 290225040 is about 662.0817647415.

The spelling of 290225040 in words is "two hundred ninety million, two hundred twenty-five thousand, forty".