290322480 has 320 divisors, whose sum is σ = 1092787200. Its totient is φ = 62361600.

The previous prime is 290322449. The next prime is 290322497. The reversal of 290322480 is 84223092.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 2874430 + ... + 2874530.

It is an arithmetic number, because the mean of its divisors is an integer number (3414960).

Almost surely, 2^290322480 is an apocalyptic number.

290322480 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 290322480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546393600).

290322480 is an abundant number, since it is smaller than the sum of its proper divisors (802464720).

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

290322480 is a wasteful number, since it uses less digits than its factorization.

290322480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 290322480 is about 17038.8520740102. The cubic root of 290322480 is about 662.1558521102.

The spelling of 290322480 in words is "two hundred ninety million, three hundred twenty-two thousand, four hundred eighty".