471604960225 has 45 divisors (see below), whose sum is σ = 682458056403. Its totient is φ = 323270886960.

The previous prime is 471604960157. The next prime is 471604960231. The reversal of 471604960225 is 522069406174.

The square root of 471604960225 is 686735.

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., 169777785681 + 301827174544 = 412041^2 + 549388^2 .

It is not a de Polignac number, because 471604960225 - 2³⁷ = 334166006753 is a prime.

It is a super-2 number, since 2×471604960225² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 168248674 + ... + 168251476.

Almost surely, 2^471604960225 is an apocalyptic number.

471604960225 is the 686735-th square number.

471604960225 is the 343368-th centered octagonal number.

It is an amenable number.

471604960225 is a deficient number, since it is larger than the sum of its proper divisors (210853096178).

471604960225 is an frugal number, since it uses more digits than its factorization.

471604960225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5644 (or 2815 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 46.

The spelling of 471604960225 in words is "four hundred seventy-one billion, six hundred four million, nine hundred sixty thousand, two hundred twenty-five".