290385680 has 80 divisors (see below), whose sum is σ = 750618624. Its totient is φ = 103749120.

The previous prime is 290385679. The next prime is 290385727. The reversal of 290385680 is 86583092.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27737 + ... + 36743.

Almost surely, 2^290385680 is an apocalyptic number.

290385680 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 290385680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375309312).

290385680 is an abundant number, since it is smaller than the sum of its proper divisors (460232944).

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

290385680 is a wasteful number, since it uses less digits than its factorization.

290385680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9064 (or 9058 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 41.

The square root of 290385680 is about 17040.7065581214. The cubic root of 290385680 is about 662.2038966313.

The spelling of 290385680 in words is "two hundred ninety million, three hundred eighty-five thousand, six hundred eighty".