290484315072 has 588 divisors, whose sum is σ = 1022323026216. Its totient is φ = 81595745280.

The previous prime is 290484315061. The next prime is 290484315083. The reversal of 290484315072 is 270513484092.

290484315072 is a `hidden beast` number, since 2 + 90 + 484 + 3 + 15 + 0 + 72 = 666.

It is an interprime number because it is at equal distance from previous prime (290484315061) and next prime (290484315083).

It is a tau number, because it is divible by the number of its divisors (588).

It is a super-2 number, since 2×290484315072² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 139453743 + ... + 139455825.

Almost surely, 2^290484315072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 290484315072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511161513108).

290484315072 is an abundant number, since it is smaller than the sum of its proper divisors (731838711144).

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

290484315072 is an equidigital number, since it uses as much as digits as its factorization.

290484315072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2188 (or 2156 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 290484315072 in words is "two hundred ninety billion, four hundred eighty-four million, three hundred fifteen thousand, seventy-two".