7270461289 has 27 divisors (see below), whose sum is σ = 9167878917. Its totient is φ = 5746313664.

The previous prime is 7270461271. The next prime is 7270461293. The reversal of 7270461289 is 9821640727.

The square root of 7270461289 is 85267.

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

It can be written as a sum of positive squares in 4 ways, for example, as 4772460889 + 2498000400 = 69083^2 + 49980^2 .

It is not a de Polignac number, because 7270461289 - 2⁵ = 7270461257 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (7270461239) 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, 7758829 + ... + 7759765.

It is an arithmetic number, because the mean of its divisors is an integer number (339551071).

Almost surely, 2^7270461289 is an apocalyptic number.

7270461289 is the 85267-th square number.

7270461289 is the 42634-th centered octagonal number.

It is an amenable number.

7270461289 is a deficient number, since it is larger than the sum of its proper divisors (1897417628).

7270461289 is an frugal number, since it uses more digits than its factorization.

7270461289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1914 (or 957 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 46.

The cubic root of 7270461289 is about 1937.2573716238.

The spelling of 7270461289 in words is "seven billion, two hundred seventy million, four hundred sixty-one thousand, two hundred eighty-nine".