477004329025 has 45 divisors (see below), whose sum is σ = 690270067811. Its totient is φ = 326972652720.

The previous prime is 477004329017. The next prime is 477004329037. The reversal of 477004329025 is 520923400774.

The square root of 477004329025 is 690655.

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

It can be written as a sum of positive squares in only one way, i.e., 171721558449 + 305282770576 = 414393^2 + 552524^2 .

It is not a de Polignac number, because 477004329025 - 2³ = 477004329017 is a prime.

It is a Duffinian number.

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 44 ways as a sum of consecutive naturals, for example, 169209066 + ... + 169211884.

Almost surely, 2^477004329025 is an apocalyptic number.

477004329025 is the 690655-th square number.

477004329025 is the 345328-th centered octagonal number.

It is an amenable number.

477004329025 is a deficient number, since it is larger than the sum of its proper divisors (213265738786).

477004329025 is an frugal number, since it uses more digits than its factorization.

477004329025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5676 (or 2831 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 43.

Adding to 477004329025 its reverse (520923400774), we get a palindrome (997927729799).

The spelling of 477004329025 in words is "four hundred seventy-seven billion, four million, three hundred twenty-nine thousand, twenty-five".