461175625 has 15 divisors (see below), whose sum is σ = 576956721. Its totient is φ = 368511000.

The previous prime is 461175607. The next prime is 461175653. The reversal of 461175625 is 526571164.

It is a happy number.

The square root of 461175625 is 21475.

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

It can be written as a sum of positive squares in 2 ways, for example, as 36156169 + 425019456 = 6013^2 + 20616^2 .

It is not a de Polignac number, because 461175625 - 2¹³ = 461167433 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 14 ways as a sum of consecutive naturals, for example, 536446 + ... + 537304.

Almost surely, 2^461175625 is an apocalyptic number.

461175625 is the 21475-th square number.

461175625 is the 10738-th centered octagonal number.

It is an amenable number.

461175625 is a deficient number, since it is larger than the sum of its proper divisors (115781096).

461175625 is an frugal number, since it uses more digits than its factorization.

461175625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1738 (or 864 counting only the distinct ones).

The product of its digits is 50400, while the sum is 37.

The cubic root of 461175625 is about 772.6013244972.

The spelling of 461175625 in words is "four hundred sixty-one million, one hundred seventy-five thousand, six hundred twenty-five".