290884664928 has 384 divisors, whose sum is σ = 945768628224. Its totient is φ = 77060966400.

The previous prime is 290884664899. The next prime is 290884664929. The reversal of 290884664928 is 829466488092.

It is a super-2 number, since 2×290884664928² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (290884664929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19994425 + ... + 20008967.

It is an arithmetic number, because the mean of its divisors is an integer number (2462939136).

Almost surely, 2^290884664928 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 290884664928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472884314112).

290884664928 is an abundant number, since it is smaller than the sum of its proper divisors (654883963296).

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

290884664928 is a wasteful number, since it uses less digits than its factorization.

290884664928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14658 (or 14650 counting only the distinct ones).

The product of its (nonzero) digits is 95551488, while the sum is 66.

The spelling of 290884664928 in words is "two hundred ninety billion, eight hundred eighty-four million, six hundred sixty-four thousand, nine hundred twenty-eight".