444140928 has 256 divisors, whose sum is σ = 1635264000. Its totient is φ = 115292160.

The previous prime is 444140927. The next prime is 444140947. The reversal of 444140928 is 829041444.

It is a super-2 number, since 2×444140928² = 394522327849402368, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 444140892 and 444140901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444140927) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 265278 + ... + 266946.

It is an arithmetic number, because the mean of its divisors is an integer number (6387750).

Almost surely, 2^444140928 is an apocalyptic number.

444140928 is a gapful number since it is divisible by the number (48) 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 444140928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (817632000).

444140928 is an abundant number, since it is smaller than the sum of its proper divisors (1191123072).

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

444140928 is a wasteful number, since it uses less digits than its factorization.

444140928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1710 (or 1692 counting only the distinct ones).

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

The square root of 444140928 is about 21074.6513138415. The cubic root of 444140928 is about 762.9690690104.

It can be divided in two parts, 4441 and 40928, that added together give a square (45369 = 213²).

The spelling of 444140928 in words is "four hundred forty-four million, one hundred forty thousand, nine hundred twenty-eight".