444123680 has 384 divisors, whose sum is σ = 1463132160. Its totient is φ = 122941440.

The previous prime is 444123677. The next prime is 444123703. The reversal of 444123680 is 86321444.

It is a super-3 number, since 3×444123680³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7527491 + ... + 7527549.

It is an arithmetic number, because the mean of its divisors is an integer number (3810240).

Almost surely, 2^444123680 is an apocalyptic number.

444123680 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 444123680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (731566080).

444123680 is an abundant number, since it is smaller than the sum of its proper divisors (1019008480).

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

444123680 is a wasteful number, since it uses less digits than its factorization.

444123680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

The square root of 444123680 is about 21074.2420978786. The cubic root of 444123680 is about 762.9591923698.

The spelling of 444123680 in words is "four hundred forty-four million, one hundred twenty-three thousand, six hundred eighty".