434802816 has 192 divisors, whose sum is σ = 1483634880. Its totient is φ = 124167168.

The previous prime is 434802779. The next prime is 434802871. The reversal of 434802816 is 618208434.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 216730 + ... + 218726.

It is an arithmetic number, because the mean of its divisors is an integer number (7727265).

Almost surely, 2^434802816 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 434802816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (741817440).

434802816 is an abundant number, since it is smaller than the sum of its proper divisors (1048832064).

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

434802816 is an equidigital number, since it uses as much as digits as its factorization.

434802816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2033 (or 2009 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 434802816 is about 20851.9259542134. The cubic root of 434802816 is about 757.5839804941.

The spelling of 434802816 in words is "four hundred thirty-four million, eight hundred two thousand, eight hundred sixteen".