290468990880 has 432 divisors, whose sum is σ = 1040019402240. Its totient is φ = 73817644032.

The previous prime is 290468990849. The next prime is 290468990881. The reversal of 290468990880 is 88099864092.

290468990880 is a `hidden beast` number, since 2 + 9 + 0 + 468 + 9 + 90 + 8 + 80 = 666.

It is not an unprimeable number, because it can be changed into a prime (290468990881) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 279565401 + ... + 279566439.

It is an arithmetic number, because the mean of its divisors is an integer number (2407452320).

Almost surely, 2^290468990880 is an apocalyptic number.

290468990880 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 290468990880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520009701120).

290468990880 is an abundant number, since it is smaller than the sum of its proper divisors (749550411360).

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

290468990880 is a wasteful number, since it uses less digits than its factorization.

290468990880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1473 (or 1439 counting only the distinct ones).

The product of its (nonzero) digits is 17915904, while the sum is 63.

The spelling of 290468990880 in words is "two hundred ninety billion, four hundred sixty-eight million, nine hundred ninety thousand, eight hundred eighty".