434900827168 has 48 divisors (see below), whose sum is σ = 915228792576. Its totient is φ = 202922959360.

The previous prime is 434900827139. The next prime is 434900827169. The reversal of 434900827168 is 861728009434.

It is not an unprimeable number, because it can be changed into a prime (434900827169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7175896 + ... + 7236247.

It is an arithmetic number, because the mean of its divisors is an integer number (19067266512).

Almost surely, 2^434900827168 is an apocalyptic number.

It is an amenable number.

434900827168 is an abundant number, since it is smaller than the sum of its proper divisors (480327965408).

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

434900827168 is a wasteful number, since it uses less digits than its factorization.

434900827168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14412217 (or 14412209 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 52.

The spelling of 434900827168 in words is "four hundred thirty-four billion, nine hundred million, eight hundred twenty-seven thousand, one hundred sixty-eight".