466430409 has 27 divisors (see below), whose sum is σ = 706556487. Its totient is φ = 296483616.

The previous prime is 466430407. The next prime is 466430413. The reversal of 466430409 is 904034664.

The square root of 466430409 is 21597.

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

466430409 is a `hidden beast` number, since 4 + 6 + 643 + 0 + 4 + 0 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2975625 + 463454784 = 1725^2 + 21528^2 .

It is not a de Polignac number, because 466430409 - 2¹ = 466430407 is a prime.

It is not an unprimeable number, because it can be changed into a prime (466430401) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1490037 + ... + 1490349.

Almost surely, 2^466430409 is an apocalyptic number.

466430409 is the 21597-th square number.

466430409 is the 10799-th centered octagonal number.

It is an amenable number.

466430409 is a deficient number, since it is larger than the sum of its proper divisors (240126078).

466430409 is an equidigital number, since it uses as much as digits as its factorization.

466430409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 678 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The cubic root of 466430409 is about 775.5246722593.

Multiplying 466430409 by its sum of digits (36), we get a square (16791494724 = 129582²).

The spelling of 466430409 in words is "four hundred sixty-six million, four hundred thirty thousand, four hundred nine".