434992128 has 176 divisors, whose sum is σ = 1232130240. Its totient is φ = 136249344.

The previous prime is 434992111. The next prime is 434992157. The reversal of 434992128 is 821299434.

Its product of digits (124416) is a multiple of the sum of its prime factors (192).

It is a self number, because there is not a number n which added to its sum of digits gives 434992128.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4887508 + ... + 4887596.

It is an arithmetic number, because the mean of its divisors is an integer number (7000740).

Almost surely, 2^434992128 is an apocalyptic number.

434992128 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 434992128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (616065120).

434992128 is an abundant number, since it is smaller than the sum of its proper divisors (797138112).

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

434992128 is a wasteful number, since it uses less digits than its factorization.

434992128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 174 counting only the distinct ones).

The product of its digits is 124416, while the sum is 42.

The square root of 434992128 is about 20856.4648970050. The cubic root of 434992128 is about 757.6939145633.

The spelling of 434992128 in words is "four hundred thirty-four million, nine hundred ninety-two thousand, one hundred twenty-eight".