290275267984 has 75 divisors (see below), whose sum is σ = 610039470197. Its totient is φ = 133805103744.

The previous prime is 290275267979. The next prime is 290275267987. The reversal of 290275267984 is 489762572092.

The square root of 290275267984 is 538772.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 290240787600 + 34480384 = 538740^2 + 5872^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (290275267987) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 364209474 + ... + 364210270.

Almost surely, 2^290275267984 is an apocalyptic number.

290275267984 is the 538772-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 290275267984

290275267984 is an abundant number, since it is smaller than the sum of its proper divisors (319764202213).

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

290275267984 is an frugal number, since it uses more digits than its factorization.

290275267984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1654 (or 812 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 61.

The spelling of 290275267984 in words is "two hundred ninety billion, two hundred seventy-five million, two hundred sixty-seven thousand, nine hundred eighty-four".