416984700328 has 128 divisors (see below), whose sum is σ = 963740332800. Its totient is φ = 165087166464.

The previous prime is 416984700323. The next prime is 416984700361. The reversal of 416984700328 is 823007489614.

It is not an unprimeable number, because it can be changed into a prime (416984700323) 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 31 ways as a sum of consecutive naturals, for example, 11589775 + ... + 11625697.

It is an arithmetic number, because the mean of its divisors is an integer number (7529221350).

Almost surely, 2^416984700328 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 416984700328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481870166400).

416984700328 is an abundant number, since it is smaller than the sum of its proper divisors (546755632472).

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

416984700328 is a wasteful number, since it uses less digits than its factorization.

416984700328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36179 (or 36175 counting only the distinct ones).

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

The spelling of 416984700328 in words is "four hundred sixteen billion, nine hundred eighty-four million, seven hundred thousand, three hundred twenty-eight".