20430464 has 64 divisors (see below), whose sum is σ = 44339400. Its totient is φ = 9338880.

The previous prime is 20430439. The next prime is 20430467. The reversal of 20430464 is 46403402.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 19009600 + 1420864 = 4360^2 + 1192^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (20430467) 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 7 ways as a sum of consecutive naturals, for example, 89102 + ... + 89330.

Almost surely, 2^20430464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20430464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22169700).

20430464 is an abundant number, since it is smaller than the sum of its proper divisors (23908936).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20430464 is a wasteful number, since it uses less digits than its factorization.

20430464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

The square root of 20430464 is about 4520.0070796405. The cubic root of 20430464 is about 273.3753864836.

Adding to 20430464 its reverse (46403402), we get a palindrome (66833866).

It can be divided in two parts, 204304 and 64, that multiplied together give a square (13075456 = 3616²).

The spelling of 20430464 in words is "twenty million, four hundred thirty thousand, four hundred sixty-four".