290486880 has 144 divisors (see below), whose sum is σ = 1007841744. Its totient is φ = 76170240.

The previous prime is 290486873. The next prime is 290486897. The reversal of 290486880 is 88684092.

It is a happy number.

290486880 is a `hidden beast` number, since 2 + 90 + 486 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 86187 + ... + 89493.

It is an arithmetic number, because the mean of its divisors is an integer number (6998901).

Almost surely, 2^290486880 is an apocalyptic number.

290486880 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 290486880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503920872).

290486880 is an abundant number, since it is smaller than the sum of its proper divisors (717354864).

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

290486880 is a wasteful number, since it uses less digits than its factorization.

290486880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3389 (or 3378 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 290486880 is about 17043.6756599039. The cubic root of 290486880 is about 662.2808141649.

The spelling of 290486880 in words is "two hundred ninety million, four hundred eighty-six thousand, eight hundred eighty".