476576219025 has 225 divisors, whose sum is σ = 955832186881. Its totient is φ = 234739391040.

The previous prime is 476576219011. The next prime is 476576219057. The reversal of 476576219025 is 520912675674.

It is a happy number.

The square root of 476576219025 is 690345.

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

476576219025 is a `hidden beast` number, since 4 + 7 + 6 + 5 + 7 + 621 + 9 + 0 + 2 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6550797969 + 470025421056 = 80937^2 + 685584^2 .

It is a tau number, because it is divible by the number of its divisors (225).

It is not a de Polignac number, because 476576219025 - 2⁹ = 476576218513 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 224 ways as a sum of consecutive naturals, for example, 16433662711 + ... + 16433662739.

Almost surely, 2^476576219025 is an apocalyptic number.

476576219025 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

476576219025 is the 690345-th square number.

476576219025 is the 345173-rd centered octagonal number.

It is an amenable number.

476576219025 is an abundant number, since it is smaller than the sum of its proper divisors (479255967856).

476576219025 is an frugal number, since it uses more digits than its factorization.

476576219025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 54.

The spelling of 476576219025 in words is "four hundred seventy-six billion, five hundred seventy-six million, two hundred nineteen thousand, twenty-five".