444750240 has 192 divisors, whose sum is σ = 1542385152. Its totient is φ = 106828800.

The previous prime is 444750239. The next prime is 444750253. The reversal of 444750240 is 42057444.

It is a hoax number, since the sum of its digits (30) 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 (30).

It is a junction number, because it is equal to n+sod(n) for n = 444750198 and 444750207.

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 31 ways as a sum of consecutive naturals, for example, 691359 + ... + 692001.

It is an arithmetic number, because the mean of its divisors is an integer number (8033256).

Almost surely, 2^444750240 is an apocalyptic number.

444750240 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 444750240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (771192576).

444750240 is an abundant number, since it is smaller than the sum of its proper divisors (1097634912).

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

444750240 is a wasteful number, since it uses less digits than its factorization.

444750240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 803 (or 795 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 30.

The square root of 444750240 is about 21089.1023991065. The cubic root of 444750240 is about 763.3178125069.

The spelling of 444750240 in words is "four hundred forty-four million, seven hundred fifty thousand, two hundred forty".