434830873904 has 80 divisors (see below), whose sum is σ = 994303027200. Its totient is φ = 180271319040.

The previous prime is 434830873847. The next prime is 434830873921. The reversal of 434830873904 is 409378038434.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8978747 + ... + 9027045.

It is an arithmetic number, because the mean of its divisors is an integer number (12428787840).

Almost surely, 2^434830873904 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 434830873904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (497151513600).

434830873904 is an abundant number, since it is smaller than the sum of its proper divisors (559472153296).

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

434830873904 is a wasteful number, since it uses less digits than its factorization.

434830873904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50938 (or 50932 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 53.

The spelling of 434830873904 in words is "four hundred thirty-four billion, eight hundred thirty million, eight hundred seventy-three thousand, nine hundred four".