444590640 has 320 divisors, whose sum is σ = 1679892480. Its totient is φ = 107412480.

The previous prime is 444590599. The next prime is 444590651. The reversal of 444590640 is 46095444.

444590640 is a `hidden beast` number, since 4 + 4 + 4 + 5 + 9 + 0 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 444590595 and 444590604.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1993569 + ... + 1993791.

It is an arithmetic number, because the mean of its divisors is an integer number (5249664).

Almost surely, 2^444590640 is an apocalyptic number.

444590640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 444590640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (839946240).

444590640 is an abundant number, since it is smaller than the sum of its proper divisors (1235301840).

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

444590640 is a wasteful number, since it uses less digits than its factorization.

444590640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 444590640 is about 21085.3181147452. The cubic root of 444590640 is about 763.2264952631.

The spelling of 444590640 in words is "four hundred forty-four million, five hundred ninety thousand, six hundred forty".