434472336 has 105 divisors (see below), whose sum is σ = 1268681169. Its totient is φ = 144073728.

The previous prime is 434472331. The next prime is 434472343. The reversal of 434472336 is 633274434.

The square root of 434472336 is 20844.

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., 105267600 + 329204736 = 10260^2 + 18144^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 434472336.

It is not an unprimeable number, because it can be changed into a prime (434472331) 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 20 ways as a sum of consecutive naturals, for example, 2251056 + ... + 2251248.

Almost surely, 2^434472336 is an apocalyptic number.

434472336 is the 20844-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 434472336

434472336 is an abundant number, since it is smaller than the sum of its proper divisors (834208833).

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

434472336 is an frugal number, since it uses more digits than its factorization.

434472336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412 (or 198 counting only the distinct ones).

The product of its digits is 145152, while the sum is 36.

The cubic root of 434472336 is about 757.3919932274.

Multiplying 434472336 by its sum of digits (36), we get a square (15641004096 = 125064²).

434472336 divided by its sum of digits (36) gives a square (12068676 = 3474²).

The spelling of 434472336 in words is "four hundred thirty-four million, four hundred seventy-two thousand, three hundred thirty-six".