473976441 has 45 divisors (see below), whose sum is σ = 738238303. Its totient is φ = 303052320.

The previous prime is 473976421. The next prime is 473976457. The reversal of 473976441 is 144679374.

The square root of 473976441 is 21771.

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., 22838841 + 451137600 = 4779^2 + 21240^2 .

It is not a de Polignac number, because 473976441 - 2¹³ = 473968249 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (473976421) by changing a digit.

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, 8033470 + ... + 8033528.

Almost surely, 2^473976441 is an apocalyptic number.

473976441 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

473976441 is the 21771-st square number.

473976441 is the 10886-th centered octagonal number.

It is an amenable number.

473976441 is a deficient number, since it is larger than the sum of its proper divisors (264261862).

473976441 is an frugal number, since it uses more digits than its factorization.

473976441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 103 counting only the distinct ones).

The product of its digits is 508032, while the sum is 45.

The cubic root of 473976441 is about 779.6845321908.

The spelling of 473976441 in words is "four hundred seventy-three million, nine hundred seventy-six thousand, four hundred forty-one".