443400048 has 160 divisors (see below), whose sum is σ = 1566566400. Its totient is φ = 116930304.

The previous prime is 443400031. The next prime is 443400071. The reversal of 443400048 is 840004344.

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

It is a junction number, because it is equal to n+sod(n) for n = 443399994 and 443400030.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33673 + ... + 44951.

It is an arithmetic number, because the mean of its divisors is an integer number (9791040).

Almost surely, 2^443400048 is an apocalyptic number.

443400048 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 443400048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (783283200).

443400048 is an abundant number, since it is smaller than the sum of its proper divisors (1123166352).

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

443400048 is a wasteful number, since it uses less digits than its factorization.

443400048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11316 (or 11304 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 443400048 is about 21057.0664623542. The cubic root of 443400048 is about 762.5445917844.

The spelling of 443400048 in words is "four hundred forty-three million, four hundred thousand, forty-eight".