444362240 has 160 divisors (see below), whose sum is σ = 1233296064. Its totient is φ = 150405120.

The previous prime is 444362239. The next prime is 444362251. The reversal of 444362240 is 42263444.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2454950 + ... + 2455130.

Almost surely, 2^444362240 is an apocalyptic number.

444362240 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 444362240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (616648032).

444362240 is an abundant number, since it is smaller than the sum of its proper divisors (788933824).

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

444362240 is a wasteful number, since it uses less digits than its factorization.

444362240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 29.

The square root of 444362240 is about 21079.9013280423. The cubic root of 444362240 is about 763.0957751686.

The spelling of 444362240 in words is "four hundred forty-four million, three hundred sixty-two thousand, two hundred forty".