480206034961 has 3 divisors (see below), whose sum is σ = 480206727931. Its totient is φ = 480205341992.

The previous prime is 480206034953. The next prime is 480206035021. The reversal of 480206034961 is 169430602084.

It is a happy number.

The square root of 480206034961 is 692969.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 363706692561 + 116499342400 = 603081^2 + 341320^2 .

It is not a de Polignac number, because 480206034961 - 2³ = 480206034953 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (480206034361) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 346485 + ... + 1039453.

Almost surely, 2^480206034961 is an apocalyptic number.

480206034961 is the 692969-th square number.

480206034961 is the 346485-th centered octagonal number.

It is an amenable number.

480206034961 is a deficient number, since it is larger than the sum of its proper divisors (692970).

480206034961 is an frugal number, since it uses more digits than its factorization.

480206034961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1385938 (or 692969 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 43.

The spelling of 480206034961 in words is "four hundred eighty billion, two hundred six million, thirty-four thousand, nine hundred sixty-one".