471975625 has 45 divisors (see below), whose sum is σ = 656581233. Its totient is φ = 338910000.

The previous prime is 471975619. The next prime is 471975649. The reversal of 471975625 is 526579174.

The square root of 471975625 is 21725.

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 37002889 + 434972736 = 6083^2 + 20856^2 .

It is not a de Polignac number, because 471975625 - 2⁵ = 471975593 is a prime.

Its product of digits (529200) is a multiple of the sum of its prime factors (200).

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 44 ways as a sum of consecutive naturals, for example, 5974336 + ... + 5974414.

Almost surely, 2^471975625 is an apocalyptic number.

471975625 is the 21725-th square number.

471975625 is the 10863-rd centered octagonal number.

It is an amenable number.

471975625 is a deficient number, since it is larger than the sum of its proper divisors (184605608).

471975625 is an frugal number, since it uses more digits than its factorization.

471975625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 95 counting only the distinct ones).

The product of its digits is 529200, while the sum is 46.

The cubic root of 471975625 is about 778.5858801491.

The spelling of 471975625 in words is "four hundred seventy-one million, nine hundred seventy-five thousand, six hundred twenty-five".