441437164 has 48 divisors (see below), whose sum is σ = 937294848. Its totient is φ = 177585408.

The previous prime is 441437149. The next prime is 441437177. The reversal of 441437164 is 461734144.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 219387 + ... + 221389.

It is an arithmetic number, because the mean of its divisors is an integer number (19526976).

Almost surely, 2^441437164 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 441437164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468647424).

441437164 is an abundant number, since it is smaller than the sum of its proper divisors (495857684).

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

441437164 is a wasteful number, since it uses less digits than its factorization.

441437164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2494 (or 2492 counting only the distinct ones).

The product of its digits is 32256, while the sum is 34.

The square root of 441437164 is about 21010.4060884125. The cubic root of 441437164 is about 761.4176931463.

The spelling of 441437164 in words is "four hundred forty-one million, four hundred thirty-seven thousand, one hundred sixty-four".