444978240 has 224 divisors, whose sum is σ = 1685422080. Its totient is φ = 97253376.

The previous prime is 444978197. The next prime is 444978241. The reversal of 444978240 is 42879444.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 444978192 and 444978201.

It is not an unprimeable number, because it can be changed into a prime (444978241) by changing a digit.

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, 153121 + ... + 155999.

Almost surely, 2^444978240 is an apocalyptic number.

444978240 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 444978240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (842711040).

444978240 is an abundant number, since it is smaller than the sum of its proper divisors (1240443840).

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

444978240 is a wasteful number, since it uses less digits than its factorization.

444978240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2929 (or 2919 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 42.

The square root of 444978240 is about 21094.5073419599. The cubic root of 444978240 is about 763.4482278234.

The spelling of 444978240 in words is "four hundred forty-four million, nine hundred seventy-eight thousand, two hundred forty".