480935315025 has 189 divisors, whose sum is σ = 984913788523. Its totient is φ = 232681442400.

The previous prime is 480935315017. The next prime is 480935315027. The reversal of 480935315025 is 520513539084.

The square root of 480935315025 is 693495.

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

480935315025 is a `hidden beast` number, since 4 + 8 + 0 + 93 + 53 + 1 + 502 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 173136713409 + 307798601616 = 416097^2 + 554796^2 .

It is not a de Polignac number, because 480935315025 - 2³ = 480935315017 is a prime.

It is a super-3 number, since 3×480935315025³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (480935315027) by changing a digit.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 1029839842 + ... + 1029840308.

Almost surely, 2^480935315025 is an apocalyptic number.

480935315025 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

480935315025 is the 693495-th square number.

480935315025 is the 346748-th centered octagonal number.

It is an amenable number.

480935315025 is an abundant number, since it is smaller than the sum of its proper divisors (503978473498).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

480935315025 is an frugal number, since it uses more digits than its factorization.

480935315025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 984 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The spelling of 480935315025 in words is "four hundred eighty billion, nine hundred thirty-five million, three hundred fifteen thousand, twenty-five".