444454960 has 40 divisors (see below), whose sum is σ = 1034353440. Its totient is φ = 177610752.

The previous prime is 444454951. The next prime is 444454961. The reversal of 444454960 is 69454444.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×444454960² = 395080422937203200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (444454961) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 110749 + ... + 114691.

It is an arithmetic number, because the mean of its divisors is an integer number (25858836).

Almost surely, 2^444454960 is an apocalyptic number.

444454960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

444454960 is an abundant number, since it is smaller than the sum of its proper divisors (589898480).

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

444454960 is a wasteful number, since it uses less digits than its factorization.

444454960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5365 (or 5359 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 40.

The square root of 444454960 is about 21082.1004646122. The cubic root of 444454960 is about 763.1488469745.

The spelling of 444454960 in words is "four hundred forty-four million, four hundred fifty-four thousand, nine hundred sixty".