434308896 has 144 divisors (see below), whose sum is σ = 1419582528. Its totient is φ = 123379200.

The previous prime is 434308841. The next prime is 434308913. The reversal of 434308896 is 698803434.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 424866 + ... + 425886.

It is an arithmetic number, because the mean of its divisors is an integer number (9858212).

Almost surely, 2^434308896 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 434308896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (709791264).

434308896 is an abundant number, since it is smaller than the sum of its proper divisors (985273632).

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

434308896 is a wasteful number, since it uses less digits than its factorization.

434308896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1255 (or 1244 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 434308896 is about 20840.0790785448. The cubic root of 434308896 is about 757.2970092951.

It can be divided in two parts, 43430 and 8896, that added together give a triangular number (52326 = T₃₂₃).

The spelling of 434308896 in words is "four hundred thirty-four million, three hundred eight thousand, eight hundred ninety-six".