483268280625 has 405 divisors, whose sum is σ = 1020281132871. Its totient is φ = 220231440000.

The previous prime is 483268280603. The next prime is 483268280629. The reversal of 483268280625 is 526082862384.

It is a happy number.

The square root of 483268280625 is 695175.

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

483268280625 is a `hidden beast` number, since 4 + 8 + 3 + 2 + 6 + 8 + 2 + 8 + 0 + 625 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 477338664609 + 5929616016 = 690897^2 + 77004^2 .

It is a de Polignac number, because none of the positive numbers 2^k-483268280625 is a prime.

It is not an unprimeable number, because it can be changed into a prime (483268280629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 404 ways as a sum of consecutive naturals, for example, 15589299360 + ... + 15589299390.

Almost surely, 2^483268280625 is an apocalyptic number.

483268280625 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

483268280625 is the 695175-th square number.

483268280625 is the 347588-th centered octagonal number.

It is an amenable number.

483268280625 is an abundant number, since it is smaller than the sum of its proper divisors (537012852246).

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

483268280625 is a wasteful number, since it uses less digits than its factorization.

483268280625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 54.

The spelling of 483268280625 in words is "four hundred eighty-three billion, two hundred sixty-eight million, two hundred eighty thousand, six hundred twenty-five".