441633564 has 72 divisors (see below), whose sum is σ = 1179290112. Its totient is φ = 139134240.

The previous prime is 441633553. The next prime is 441633583. The reversal of 441633564 is 465336144.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43387 + ... + 52589.

Almost surely, 2^441633564 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 441633564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (589645056).

441633564 is an abundant number, since it is smaller than the sum of its proper divisors (737656548).

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

441633564 is a wasteful number, since it uses less digits than its factorization.

441633564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9287 (or 9282 counting only the distinct ones).

The product of its digits is 103680, while the sum is 36.

The square root of 441633564 is about 21015.0794431047. The cubic root of 441633564 is about 761.5305972958.

The spelling of 441633564 in words is "four hundred forty-one million, six hundred thirty-three thousand, five hundred sixty-four".