444011760 has 320 divisors, whose sum is σ = 1666560000. Its totient is φ = 108241920.

The previous prime is 444011723. The next prime is 444011761. The reversal of 444011760 is 67110444.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444011761) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1272066 + ... + 1272414.

It is an arithmetic number, because the mean of its divisors is an integer number (5208000).

Almost surely, 2^444011760 is an apocalyptic number.

444011760 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 444011760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (833280000).

444011760 is an abundant number, since it is smaller than the sum of its proper divisors (1222548240).

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

444011760 is a wasteful number, since it uses less digits than its factorization.

444011760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 444011760 is about 21071.5865563085. The cubic root of 444011760 is about 762.8950979366.

The spelling of 444011760 in words is "four hundred forty-four million, eleven thousand, seven hundred sixty".