461403657289 has 27 divisors (see below), whose sum is σ = 487326927477. Its totient is φ = 436839324768.

The previous prime is 461403657269. The next prime is 461403657293. The reversal of 461403657289 is 982756304164.

The square root of 461403657289 is 679267.

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 17858313225 + 443545344064 = 133635^2 + 665992^2 .

It is not a de Polignac number, because 461403657289 - 2¹⁹ = 461403133001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (461403657269) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1162225639 + ... + 1162226035.

It is a 1-persistent number, because it is pandigital, but 2⋅461403657289 = 922807314578 is not.

Almost surely, 2^461403657289 is an apocalyptic number.

461403657289 is the 679267-th square number.

461403657289 is the 339634-th centered octagonal number.

It is an amenable number.

461403657289 is a deficient number, since it is larger than the sum of its proper divisors (25923270188).

461403657289 is an frugal number, since it uses more digits than its factorization.

461403657289 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 970 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 55.

The spelling of 461403657289 in words is "four hundred sixty-one billion, four hundred three million, six hundred fifty-seven thousand, two hundred eighty-nine".