291290880 has 144 divisors (see below), whose sum is σ = 960712704. Its totient is φ = 75141120.

The previous prime is 291290863. The next prime is 291290887. The reversal of 291290880 is 88092192.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (291290887) 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, 117817 + ... + 120263.

It is an arithmetic number, because the mean of its divisors is an integer number (6671616).

Almost surely, 2^291290880 is an apocalyptic number.

291290880 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 291290880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480356352).

291290880 is an abundant number, since it is smaller than the sum of its proper divisors (669421824).

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

291290880 is a wasteful number, since it uses less digits than its factorization.

291290880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2502 (or 2488 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 39.

The square root of 291290880 is about 17067.2458235065. The cubic root of 291290880 is about 662.8912643100.

The spelling of 291290880 in words is "two hundred ninety-one million, two hundred ninety thousand, eight hundred eighty".