434416164 has 144 divisors (see below), whose sum is σ = 1344930048. Its totient is φ = 107799552.

The previous prime is 434416163. The next prime is 434416217. The reversal of 434416164 is 461614434.

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

It is not an unprimeable number, because it can be changed into a prime (434416163) 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 47 ways as a sum of consecutive naturals, for example, 128277 + ... + 131619.

It is an arithmetic number, because the mean of its divisors is an integer number (9339792).

Almost surely, 2^434416164 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 434416164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (672465024).

434416164 is an abundant number, since it is smaller than the sum of its proper divisors (910513884).

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

434416164 is a wasteful number, since it uses less digits than its factorization.

434416164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3394 (or 3385 counting only the distinct ones).

The product of its digits is 27648, while the sum is 33.

The square root of 434416164 is about 20842.6525183336. The cubic root of 434416164 is about 757.3593512898.

The spelling of 434416164 in words is "four hundred thirty-four million, four hundred sixteen thousand, one hundred sixty-four".