290360400201 has 27 divisors (see below), whose sum is σ = 427598334709. Its totient is φ = 189865227552.

The previous prime is 290360400199. The next prime is 290360400227. The reversal of 290360400201 is 102004063092.

The square root of 290360400201 is 538851.

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

290360400201 is a `hidden beast` number, since 29 + 0 + 36 + 0 + 400 + 201 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 161640182025 + 128720218176 = 402045^2 + 358776^2 .

It is not a de Polignac number, because 290360400201 - 2¹ = 290360400199 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (290360400241) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 85675615 + ... + 85679003.

Almost surely, 2^290360400201 is an apocalyptic number.

290360400201 is the 538851-st square number.

290360400201 is the 269426-th centered octagonal number.

It is an amenable number.

290360400201 is a deficient number, since it is larger than the sum of its proper divisors (137237934508).

290360400201 is an frugal number, since it uses more digits than its factorization.

290360400201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6890 (or 3445 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 290360400201 its reverse (102004063092), we get a palindrome (392364463293).

It can be divided in two parts, 290360 and 400201, that added together give a square (690561 = 831²).

The spelling of 290360400201 in words is "two hundred ninety billion, three hundred sixty million, four hundred thousand, two hundred one".