464273209 has 9 divisors (see below), whose sum is σ = 481482703. Its totient is φ = 447660472.

The previous prime is 464273203. The next prime is 464273219. The reversal of 464273209 is 902372464.

The square root of 464273209 is 21547.

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., 243453609 + 220819600 = 15603^2 + 14860^2 .

It is not a de Polignac number, because 464273209 - 2⁵ = 464273177 is a prime.

It is a super-2 number, since 2×464273209² = 431099225190315362, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (464273203) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 624492 + ... + 625234.

Almost surely, 2^464273209 is an apocalyptic number.

464273209 is the 21547-th square number.

464273209 is the 10774-th centered octagonal number.

It is an amenable number.

464273209 is a deficient number, since it is larger than the sum of its proper divisors (17209494).

464273209 is an frugal number, since it uses more digits than its factorization.

464273209 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1544 (or 772 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 37.

The cubic root of 464273209 is about 774.3272463491.

The spelling of 464273209 in words is "four hundred sixty-four million, two hundred seventy-three thousand, two hundred nine".