290166240 has 432 divisors, whose sum is σ = 1167103728. Its totient is φ = 60383232.

The previous prime is 290166223. The next prime is 290166241. The reversal of 290166240 is 42661092.

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

It is a junction number, because it is equal to n+sod(n) for n = 290166198 and 290166207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (290166241) 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 71 ways as a sum of consecutive naturals, for example, 3974844 + ... + 3974916.

It is an arithmetic number, because the mean of its divisors is an integer number (2701629).

Almost surely, 2^290166240 is an apocalyptic number.

290166240 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 290166240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (583551864).

290166240 is an abundant number, since it is smaller than the sum of its proper divisors (876937488).

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

290166240 is a wasteful number, since it uses less digits than its factorization.

290166240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 290166240 is about 17034.2666410973. The cubic root of 290166240 is about 662.0370488236.

The spelling of 290166240 in words is "two hundred ninety million, one hundred sixty-six thousand, two hundred forty".