290666880 has 448 divisors, whose sum is σ = 1204048800. Its totient is φ = 65691648.

The previous prime is 290666879. The next prime is 290666899. The reversal of 290666880 is 88666092.

It is a tau number, because it is divible by the number of its divisors (448).

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 55 ways as a sum of consecutive naturals, for example, 3265876 + ... + 3265964.

Almost surely, 2^290666880 is an apocalyptic number.

290666880 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 290666880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (602024400).

290666880 is an abundant number, since it is smaller than the sum of its proper divisors (913381920).

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

290666880 is an frugal number, since it uses more digits than its factorization.

290666880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 290666880 is about 17048.9553932198. The cubic root of 290666880 is about 662.4175798737.

The spelling of 290666880 in words is "two hundred ninety million, six hundred sixty-six thousand, eight hundred eighty".