434211008 has 224 divisors, whose sum is σ = 1169261568. Its totient is φ = 154828800.

The previous prime is 434211007. The next prime is 434211053. The reversal of 434211008 is 800112434.

It is a tau number, because it is divible by the number of its divisors (224).

It is not an unprimeable number, because it can be changed into a prime (434211007) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 5948060 + ... + 5948132.

Almost surely, 2^434211008 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 434211008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (584630784).

434211008 is an abundant number, since it is smaller than the sum of its proper divisors (735050560).

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

434211008 is a wasteful number, since it uses less digits than its factorization.

434211008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 434211008 is about 20837.7303946471. The cubic root of 434211008 is about 757.2401098084.

The spelling of 434211008 in words is "four hundred thirty-four million, two hundred eleven thousand, eight".