434888448 has 72 divisors (see below), whose sum is σ = 1173444048. Its totient is φ = 142958592.

The previous prime is 434888413. The next prime is 434888449. The reversal of 434888448 is 844888434.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 434888448.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434888449) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52186 + ... + 59942.

It is an arithmetic number, because the mean of its divisors is an integer number (16297834).

Almost surely, 2^434888448 is an apocalyptic number.

434888448 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 434888448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (586722024).

434888448 is an abundant number, since it is smaller than the sum of its proper divisors (738555600).

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

434888448 is an equidigital number, since it uses as much as digits as its factorization.

434888448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7849 (or 7835 counting only the distinct ones).

The product of its digits is 3145728, while the sum is 51.

The square root of 434888448 is about 20853.9791886345. The cubic root of 434888448 is about 757.6337112154.

The spelling of 434888448 in words is "four hundred thirty-four million, eight hundred eighty-eight thousand, four hundred forty-eight".