480990796225 has 27 divisors (see below), whose sum is σ = 617833452873. Its totient is φ = 371446249440.

The previous prime is 480990796207. The next prime is 480990796259. The reversal of 480990796225 is 522697099084.

The square root of 480990796225 is 693535.

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 6611478721 + 474379317504 = 81311^2 + 688752^2 .

It is not a de Polignac number, because 480990796225 - 2⁵ = 480990796193 is a prime.

It is a super-3 number, since 3×480990796225³ (a number of 36 digits) contains 333 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 100560184 + ... + 100564966.

Almost surely, 2^480990796225 is an apocalyptic number.

480990796225 is the 693535-th square number.

480990796225 is the 346768-th centered octagonal number.

It is an amenable number.

480990796225 is a deficient number, since it is larger than the sum of its proper divisors (136842656648).

480990796225 is an frugal number, since it uses more digits than its factorization.

480990796225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9634 (or 4817 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 61.

The spelling of 480990796225 in words is "four hundred eighty billion, nine hundred ninety million, seven hundred ninety-six thousand, two hundred twenty-five".