434041608 has 384 divisors, whose sum is σ = 1551312000. Its totient is φ = 99348480.

The previous prime is 434041589. The next prime is 434041609. The reversal of 434041608 is 806140434.

It is not an unprimeable number, because it can be changed into a prime (434041609) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4876828 + ... + 4876916.

It is an arithmetic number, because the mean of its divisors is an integer number (4039875).

Almost surely, 2^434041608 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 434041608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (775656000).

434041608 is an abundant number, since it is smaller than the sum of its proper divisors (1117270392).

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

434041608 is a wasteful number, since it uses less digits than its factorization.

434041608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 434041608 is about 20833.6652560225. The cubic root of 434041608 is about 757.1416222394.

The spelling of 434041608 in words is "four hundred thirty-four million, forty-one thousand, six hundred eight".