290550240 has 336 divisors, whose sum is σ = 1070895168. Its totient is φ = 74400768.

The previous prime is 290550209. The next prime is 290550241. The reversal of 290550240 is 42055092.

290550240 is a `hidden beast` number, since 2 + 90 + 550 + 24 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 9.

It is a zygodrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (290550241) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 5482054 + ... + 5482106.

It is an arithmetic number, because the mean of its divisors is an integer number (3187188).

Almost surely, 2^290550240 is an apocalyptic number.

290550240 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 290550240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535447584).

290550240 is an abundant number, since it is smaller than the sum of its proper divisors (780344928).

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

290550240 is an equidigital number, since it uses as much as digits as its factorization.

290550240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 290550240 is about 17045.5343125406. The cubic root of 290550240 is about 662.3289621362.

The spelling of 290550240 in words is "two hundred ninety million, five hundred fifty thousand, two hundred forty".