434214144 has 432 divisors, whose sum is σ = 1636835200. Its totient is φ = 107495424.

The previous prime is 434214127. The next prime is 434214167. The reversal of 434214144 is 441412434.

434214144 is a `hidden beast` number, since 434 + 214 + 14 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3983562 + ... + 3983670.

Almost surely, 2^434214144 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 434214144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (818417600).

434214144 is an abundant number, since it is smaller than the sum of its proper divisors (1202621056).

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

434214144 is a wasteful number, since it uses less digits than its factorization.

434214144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 153 counting only the distinct ones).

The product of its digits is 6144, while the sum is 27.

The square root of 434214144 is about 20837.8056426295. The cubic root of 434214144 is about 757.2419328079.

Adding to 434214144 its reverse (441412434), we get a palindrome (875626578).

The spelling of 434214144 in words is "four hundred thirty-four million, two hundred fourteen thousand, one hundred forty-four".