434328864 has 48 divisors (see below), whose sum is σ = 1143904608. Its totient is φ = 144294912.

The previous prime is 434328859. The next prime is 434328871. The reversal of 434328864 is 468823434.

It is a tau number, because it is divible by the number of its divisors (48).

It is a nude number because it is divisible by every one of its digits.

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 7 ways as a sum of consecutive naturals, for example, 22104 + ... + 36840.

It is an arithmetic number, because the mean of its divisors is an integer number (23831346).

Almost surely, 2^434328864 is an apocalyptic number.

It is an amenable number.

434328864 is an abundant number, since it is smaller than the sum of its proper divisors (709575744).

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

434328864 is a wasteful number, since it uses less digits than its factorization.

434328864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15057 (or 15049 counting only the distinct ones).

The product of its digits is 442368, while the sum is 42.

The square root of 434328864 is about 20840.5581499153. The cubic root of 434328864 is about 757.3086150708.

The spelling of 434328864 in words is "four hundred thirty-four million, three hundred twenty-eight thousand, eight hundred sixty-four".