290878880 has 48 divisors (see below), whose sum is σ = 690034464. Its totient is φ = 115872000.

The previous prime is 290878873. The next prime is 290878919. The reversal of 290878880 is 88878092.

290878880 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×290878880² = 169221045660108800, which contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 36539 + ... + 43781.

It is an arithmetic number, because the mean of its divisors is an integer number (14375718).

Almost surely, 2^290878880 is an apocalyptic number.

290878880 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 290878880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345017232).

290878880 is an abundant number, since it is smaller than the sum of its proper divisors (399155584).

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

290878880 is a wasteful number, since it uses less digits than its factorization.

290878880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7509 (or 7501 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 50.

The square root of 290878880 is about 17055.1716496786. The cubic root of 290878880 is about 662.5785870938.

The spelling of 290878880 in words is "two hundred ninety million, eight hundred seventy-eight thousand, eight hundred eighty".