290420379648 has 624 divisors, whose sum is σ = 1023054589440. Its totient is φ = 77488717824.

The previous prime is 290420379647. The next prime is 290420379673. The reversal of 290420379648 is 846973024092.

290420379648 is a `hidden beast` number, since 2 + 90 + 420 + 3 + 7 + 96 + 48 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 290420379594 and 290420379603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (290420379647) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1048448886 + ... + 1048449162.

It is an arithmetic number, because the mean of its divisors is an integer number (1639510560).

Almost surely, 2^290420379648 is an apocalyptic number.

290420379648 is a gapful number since it is divisible by the number (28) 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 290420379648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511527294720).

290420379648 is an abundant number, since it is smaller than the sum of its proper divisors (732634209792).

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

290420379648 is a wasteful number, since it uses less digits than its factorization.

290420379648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 570 (or 545 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 290420379648 in words is "two hundred ninety billion, four hundred twenty million, three hundred seventy-nine thousand, six hundred forty-eight".