470424515625 has 189 divisors, whose sum is σ = 892777029339. Its totient is φ = 238684500000.

The previous prime is 470424515597. The next prime is 470424515633. The reversal of 470424515625 is 526515424074.

The square root of 470424515625 is 685875.

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

470424515625 is a `hidden beast` number, since 4 + 7 + 0 + 4 + 2 + 4 + 5 + 15 + 625 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 412137036441 + 58287479184 = 641979^2 + 241428^2 .

It is not a de Polignac number, because 470424515625 - 2¹¹ = 470424513577 is a prime.

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

It is an unprimeable number.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 7973296846 + ... + 7973296904.

Almost surely, 2^470424515625 is an apocalyptic number.

470424515625 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

470424515625 is the 685875-th square number.

470424515625 is the 342938-th centered octagonal number.

It is an amenable number.

470424515625 is a deficient number, since it is larger than the sum of its proper divisors (422352513714).

470424515625 is an frugal number, since it uses more digits than its factorization.

470424515625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 1344000, while the sum is 45.

Adding to 470424515625 its reverse (526515424074), we get a palindrome (996939939699).

It can be divided in two parts, 470424 and 515625, that added together give a square (986049 = 993²).

The spelling of 470424515625 in words is "four hundred seventy billion, four hundred twenty-four million, five hundred fifteen thousand, six hundred twenty-five".