474721 has 9 divisors (see below), whose sum is σ = 523929. Its totient is φ = 429936.

The previous prime is 474709. The next prime is 474737. The reversal of 474721 is 127474.

The square root of 474721 is 689.

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

It can be written as a sum of positive squares in 4 ways, for example, as 12321 + 462400 = 111^2 + 680^2 .

It is not a de Polignac number, because 474721 - 2¹⁵ = 441953 is a prime.

It is a super-3 number, since 3×474721³ = 320949413330122083, which contains 333 as substring.

It is an alternating number because its digits alternate between even and odd.

It is a Duffinian number.

474721 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (474751) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 8931 + ... + 8983.

474721 is a Friedman number, since it can be written as (174*4-7)^2, using all its digits and the basic arithmetic operations.

2⁴⁷⁴⁷²¹ is an apocalyptic number.

474721 is the 689-th square number.

474721 is the 345-th centered octagonal number.

It is an amenable number.

474721 is a deficient number, since it is larger than the sum of its proper divisors (49208).

474721 is an equidigital number, since it uses as much as digits as its factorization.

474721 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 66 counting only the distinct ones).

The product of its digits is 1568, while the sum is 25.

The cubic root of 474721 is about 78.0092581603.

Multiplying 474721 by its sum of digits (25), we get a square (11868025 = 3445²).

The spelling of 474721 in words is "four hundred seventy-four thousand, seven hundred twenty-one", and thus it is an iban number.