444198240 has 144 divisors (see below), whose sum is σ = 1521728208. Its totient is φ = 117992448.

The previous prime is 444198229. The next prime is 444198263. The reversal of 444198240 is 42891444.

444198240 is a `hidden beast` number, since 444 + 198 + 24 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 = 444198195 and 444198204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 536707 + ... + 537533.

It is an arithmetic number, because the mean of its divisors is an integer number (10567557).

Almost surely, 2^444198240 is an apocalyptic number.

444198240 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 444198240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (760864104).

444198240 is an abundant number, since it is smaller than the sum of its proper divisors (1077529968).

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

444198240 is a wasteful number, since it uses less digits than its factorization.

444198240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1221 (or 1210 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 444198240 is about 21076.0110077785. The cubic root of 444198240 is about 763.0018854730.

The spelling of 444198240 in words is "four hundred forty-four million, one hundred ninety-eight thousand, two hundred forty".