290980080 has 160 divisors (see below), whose sum is σ = 1012435200. Its totient is φ = 76808448.

The previous prime is 290980057. The next prime is 290980127. The reversal of 290980080 is 80089092.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 230491 + ... + 231749.

It is an arithmetic number, because the mean of its divisors is an integer number (6327720).

Almost surely, 2^290980080 is an apocalyptic number.

290980080 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 290980080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506217600).

290980080 is an abundant number, since it is smaller than the sum of its proper divisors (721455120).

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

290980080 is a wasteful number, since it uses less digits than its factorization.

290980080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1388 (or 1376 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 290980080 is about 17058.1382336995. The cubic root of 290980080 is about 662.6554176728.

The spelling of 290980080 in words is "two hundred ninety million, nine hundred eighty thousand, eighty".