444960810 has 128 divisors (see below), whose sum is σ = 1427558400. Its totient is φ = 96344640.

The previous prime is 444960787. The next prime is 444960847. The reversal of 444960810 is 18069444.

It is a happy number.

444960810 is a `hidden beast` number, since 4 + 4 + 49 + 608 + 1 + 0 = 666.

It is a super-2 number, since 2×444960810² = 395980244871712200, which contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29715 + ... + 42105.

It is an arithmetic number, because the mean of its divisors is an integer number (11152800).

Almost surely, 2^444960810 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 444960810, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (713779200).

444960810 is an abundant number, since it is smaller than the sum of its proper divisors (982597590).

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

444960810 is a wasteful number, since it uses less digits than its factorization.

444960810 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12433 (or 12427 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 444960810 is about 21094.0941971918. The cubic root of 444960810 is about 763.4382594885.

The spelling of 444960810 in words is "four hundred forty-four million, nine hundred sixty thousand, eight hundred ten".