470412721 has 15 divisors (see below), whose sum is σ = 504082603. Its totient is φ = 438985360.

The previous prime is 470412673. The next prime is 470412727. The reversal of 470412721 is 127214074.

The square root of 470412721 is 21689.

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., 22667121 + 447745600 = 4761^2 + 21160^2 .

It is not a de Polignac number, because 470412721 - 2⁹ = 470412209 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 470412721.

It is not an unprimeable number, because it can be changed into a prime (470412727) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 11473461 + ... + 11473501.

Almost surely, 2^470412721 is an apocalyptic number.

470412721 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

470412721 is the 21689-th square number.

470412721 is the 10845-th centered octagonal number.

It is an amenable number.

470412721 is a deficient number, since it is larger than the sum of its proper divisors (33669882).

470412721 is an frugal number, since it uses more digits than its factorization.

470412721 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 28.

The cubic root of 470412721 is about 777.7255245387.

Multiplying 470412721 by its product of nonzero digits (3136), we get a square (1475214293056 = 1214584²).

Adding to 470412721 its reverse (127214074), we get a palindrome (597626795).

The spelling of 470412721 in words is "four hundred seventy million, four hundred twelve thousand, seven hundred twenty-one".