480484084409 has 12 divisors (see below), whose sum is σ = 568093263588. Its totient is φ = 405091965600.

The previous prime is 480484084337. The next prime is 480484084427. The reversal of 480484084409 is 904480484084.

It can be written as a sum of positive squares in 2 ways, for example, as 121619587600 + 358864496809 = 348740^2 + 599053^2 .

It is not a de Polignac number, because 480484084409 - 2¹² = 480484080313 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (480484084439) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 80372402 + ... + 80378379.

It is an arithmetic number, because the mean of its divisors is an integer number (47341105299).

Almost surely, 2^480484084409 is an apocalyptic number.

480484084409 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

It is an amenable number.

480484084409 is a deficient number, since it is larger than the sum of its proper divisors (87609179179).

480484084409 is a wasteful number, since it uses less digits than its factorization.

480484084409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160750856 (or 160750849 counting only the distinct ones).

The product of its (nonzero) digits is 4718592, while the sum is 53.

The spelling of 480484084409 in words is "four hundred eighty billion, four hundred eighty-four million, eighty-four thousand, four hundred nine".