477641025 has 81 divisors (see below), whose sum is σ = 903204003. Its totient is φ = 241279200.

The previous prime is 477640987. The next prime is 477641039. The reversal of 477641025 is 520146774.

The square root of 477641025 is 21855.

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

477641025 is a `hidden beast` number, since 4 + 7 + 7 + 641 + 0 + 2 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 171950769 + 305690256 = 13113^2 + 17484^2 .

It is not a de Polignac number, because 477641025 - 2¹⁷ = 477509953 is a prime.

It is a Curzon number.

It is an unprimeable number.

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 80 ways as a sum of consecutive naturals, for example, 10162552 + ... + 10162598.

Almost surely, 2^477641025 is an apocalyptic number.

477641025 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

477641025 is the 21855-th square number.

477641025 is the 10928-th centered octagonal number.

It is an amenable number.

477641025 is a deficient number, since it is larger than the sum of its proper divisors (425562978).

477641025 is a wasteful number, since it uses less digits than its factorization.

477641025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The cubic root of 477641025 is about 781.6887719805.

Multiplying 477641025 by its sum of digits (36), we get a square (17195076900 = 131130²).

Adding to 477641025 its reverse (520146774), we get a palindrome (997787799).

The spelling of 477641025 in words is "four hundred seventy-seven million, six hundred forty-one thousand, twenty-five".