290200320 has 252 divisors, whose sum is σ = 1045555056. Its totient is φ = 77137920.

The previous prime is 290200289. The next prime is 290200333. The reversal of 290200320 is 23002092.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 6.

It is a zygodrome in base 6.

It is a junction number, because it is equal to n+sod(n) for n = 290200293 and 290200302.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 932965 + ... + 933275.

It is an arithmetic number, because the mean of its divisors is an integer number (4149028).

Almost surely, 2^290200320 is an apocalyptic number.

290200320 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 290200320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522777528).

290200320 is an abundant number, since it is smaller than the sum of its proper divisors (755354736).

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

290200320 is an frugal number, since it uses more digits than its factorization.

290200320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 290200320 is about 17035.2669483046. The cubic root of 290200320 is about 662.0629665405.

The spelling of 290200320 in words is "two hundred ninety million, two hundred thousand, three hundred twenty".