290881152 has 128 divisors (see below), whose sum is σ = 909187200. Its totient is φ = 91238400.

The previous prime is 290881147. The next prime is 290881159. The reversal of 290881152 is 251188092.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×290881152² = 169223689177694208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (290881159) 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 15 ways as a sum of consecutive naturals, for example, 56277 + ... + 61227.

It is an arithmetic number, because the mean of its divisors is an integer number (7103025).

Almost surely, 2^290881152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 290881152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454593600).

290881152 is an abundant number, since it is smaller than the sum of its proper divisors (618306048).

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

290881152 is a wasteful number, since it uses less digits than its factorization.

290881152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4991 (or 4973 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The square root of 290881152 is about 17055.2382569110. The cubic root of 290881152 is about 662.5803121813.

The spelling of 290881152 in words is "two hundred ninety million, eight hundred eighty-one thousand, one hundred fifty-two".