290228935441 has 27 divisors (see below), whose sum is σ = 309405041211. Its totient is φ = 272217608784.

The previous prime is 290228935379. The next prime is 290228935453. The reversal of 290228935441 is 144539822092.

The square root of 290228935441 is 538729.

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

It can be written as a sum of positive squares in only one way, i.e., 194503050625 + 95725884816 = 441025^2 + 309396^2 .

It is not a de Polignac number, because 290228935441 - 2⁷ = 290228935313 is a prime.

It is a super-2 number, since 2×290228935441² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (290228935741) 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 26 ways as a sum of consecutive naturals, for example, 731055055 + ... + 731055451.

Almost surely, 2^290228935441 is an apocalyptic number.

290228935441 is the 538729-th square number.

290228935441 is the 269365-th centered octagonal number.

It is an amenable number.

290228935441 is a deficient number, since it is larger than the sum of its proper divisors (19176105770).

290228935441 is an frugal number, since it uses more digits than its factorization.

290228935441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 958 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 49.

Multiplying 290228935441 by its sum of digits (49), we get a square (14221217836609 = 3771103²).

The spelling of 290228935441 in words is "two hundred ninety billion, two hundred twenty-eight million, nine hundred thirty-five thousand, four hundred forty-one".