434314144 has 96 divisors (see below), whose sum is σ = 961813440. Its totient is φ = 191385600.

The previous prime is 434314109. The next prime is 434314151. The reversal of 434314144 is 441413434.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2426247 + ... + 2426425.

It is an arithmetic number, because the mean of its divisors is an integer number (10018890).

Almost surely, 2^434314144 is an apocalyptic number.

434314144 is a gapful number since it is divisible by the number (44) 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 434314144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480906720).

434314144 is an abundant number, since it is smaller than the sum of its proper divisors (527499296).

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

434314144 is a wasteful number, since it uses less digits than its factorization.

434314144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 366 counting only the distinct ones).

The product of its digits is 9216, while the sum is 28.

The square root of 434314144 is about 20840.2049893949. The cubic root of 434314144 is about 757.3000595655.

Adding to 434314144 its reverse (441413434), we get a palindrome (875727578).

The spelling of 434314144 in words is "four hundred thirty-four million, three hundred fourteen thousand, one hundred forty-four".