424484064 has 144 divisors (see below), whose sum is σ = 1269515520. Its totient is φ = 139501440.

The previous prime is 424484063. The next prime is 424484077. The reversal of 424484064 is 460484424.

424484064 is a `hidden beast` number, since 4 + 244 + 8 + 406 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (424484063) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 613959 + ... + 614649.

It is an arithmetic number, because the mean of its divisors is an integer number (8816080).

Almost surely, 2^424484064 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 424484064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (634757760).

424484064 is an abundant number, since it is smaller than the sum of its proper divisors (845031456).

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

424484064 is an equidigital number, since it uses as much as digits as its factorization.

424484064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 795 (or 775 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

The square root of 424484064 is about 20603.0110420783. The cubic root of 424484064 is about 751.5429356228.

The spelling of 424484064 in words is "four hundred twenty-four million, four hundred eighty-four thousand, sixty-four".