473928980625 has 135 divisors (see below), whose sum is σ = 874774347447. Its totient is φ = 247172112000.

The previous prime is 473928980597. The next prime is 473928980663. The reversal of 473928980625 is 526089829374.

The square root of 473928980625 is 688425.

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

473928980625 is a `hidden beast` number, since 473 + 9 + 2 + 89 + 80 + 6 + 2 + 5 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 327466629009 + 146462351616 = 572247^2 + 382704^2 .

It is not a de Polignac number, because 473928980625 - 2³⁵ = 439569242257 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 3459335557 + ... + 3459335693.

Almost surely, 2^473928980625 is an apocalyptic number.

473928980625 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

473928980625 is the 688425-th square number.

473928980625 is the 344213-rd centered octagonal number.

It is an amenable number.

473928980625 is a deficient number, since it is larger than the sum of its proper divisors (400845366822).

473928980625 is an frugal number, since it uses more digits than its factorization.

473928980625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 473928980625 in words is "four hundred seventy-three billion, nine hundred twenty-eight million, nine hundred eighty thousand, six hundred twenty-five".