4456431424 has 112 divisors (see below), whose sum is σ = 9498787200. Its totient is φ = 2073612288.

The previous prime is 4456431389. The next prime is 4456431439. The reversal of 4456431424 is 4241346544.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45942544 + ... + 45942640.

It is an arithmetic number, because the mean of its divisors is an integer number (84810600).

Almost surely, 2^4456431424 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 4456431424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4749393600).

4456431424 is an abundant number, since it is smaller than the sum of its proper divisors (5042355776).

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

4456431424 is an frugal number, since it uses more digits than its factorization.

4456431424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 181 counting only the distinct ones).

The product of its digits is 184320, while the sum is 37.

The square root of 4456431424 is about 66756.5084767021. The cubic root of 4456431424 is about 1645.6181776942.

Adding to 4456431424 its reverse (4241346544), we get a palindrome (8697777968).

The spelling of 4456431424 in words is "four billion, four hundred fifty-six million, four hundred thirty-one thousand, four hundred twenty-four".