434625168 has 60 divisors (see below), whose sum is σ = 1147458800. Its totient is φ = 141758016.

The previous prime is 434625167. The next prime is 434625187. The reversal of 434625168 is 861526434.

It is not an unprimeable number, because it can be changed into a prime (434625167) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 103983 + ... + 108081.

Almost surely, 2^434625168 is an apocalyptic number.

434625168 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 434625168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (573729400).

434625168 is an abundant number, since it is smaller than the sum of its proper divisors (712833632).

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

434625168 is a wasteful number, since it uses less digits than its factorization.

434625168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4204 (or 4151 counting only the distinct ones).

The product of its digits is 138240, while the sum is 39.

The square root of 434625168 is about 20847.6657686178. The cubic root of 434625168 is about 757.4807907207.

The spelling of 434625168 in words is "four hundred thirty-four million, six hundred twenty-five thousand, one hundred sixty-eight".