444616128 has 336 divisors, whose sum is σ = 1517757696. Its totient is φ = 127733760.

The previous prime is 444616121. The next prime is 444616171. The reversal of 444616128 is 821616444.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 444616092 and 444616101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444616121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3934600 + ... + 3934712.

It is an arithmetic number, because the mean of its divisors is an integer number (4517136).

Almost surely, 2^444616128 is an apocalyptic number.

444616128 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 444616128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (758878848).

444616128 is an abundant number, since it is smaller than the sum of its proper divisors (1073141568).

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

444616128 is a wasteful number, since it uses less digits than its factorization.

444616128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 152 counting only the distinct ones).

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

The square root of 444616128 is about 21085.9225076827. The cubic root of 444616128 is about 763.2410800245.

The spelling of 444616128 in words is "four hundred forty-four million, six hundred sixteen thousand, one hundred twenty-eight".