472009505 has 24 divisors (see below), whose sum is σ = 659221416. Its totient is φ = 323079680.

The previous prime is 472009487. The next prime is 472009511. The reversal of 472009505 is 505900274.

It can be written as a sum of positive squares in 4 ways, for example, as 42981136 + 429028369 = 6556^2 + 20713^2 .

It is not a de Polignac number, because 472009505 - 2¹² = 472005409 is a prime.

It is a Duffinian number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 12662 + ... + 33231.

It is an arithmetic number, because the mean of its divisors is an integer number (27467559).

Almost surely, 2^472009505 is an apocalyptic number.

It is an amenable number.

472009505 is a deficient number, since it is larger than the sum of its proper divisors (187211911).

472009505 is a wasteful number, since it uses less digits than its factorization.

472009505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45937 (or 45926 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 32.

The square root of 472009505 is about 21725.7797328427. The cubic root of 472009505 is about 778.6045095422.

Adding to 472009505 its reverse (505900274), we get a palindrome (977909779).

The spelling of 472009505 in words is "four hundred seventy-two million, nine thousand, five hundred five".