441074664 has 96 divisors (see below), whose sum is σ = 1261915200. Its totient is φ = 138792960.

The previous prime is 441074593. The next prime is 441074677. The reversal of 441074664 is 466470144.

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 (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 687784 + ... + 688424.

It is an arithmetic number, because the mean of its divisors is an integer number (13144950).

Almost surely, 2^441074664 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 441074664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (630957600).

441074664 is an abundant number, since it is smaller than the sum of its proper divisors (820840536).

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

441074664 is a wasteful number, since it uses less digits than its factorization.

441074664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1175 (or 1168 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 441074664 is about 21001.7776390476. Note that the first 3 decimals coincide. The cubic root of 441074664 is about 761.2092153807.

The spelling of 441074664 in words is "four hundred forty-one million, seventy-four thousand, six hundred sixty-four".