443796480 has 132 divisors (see below), whose sum is σ = 1537902912. Its totient is φ = 118333440.

The previous prime is 443796461. The next prime is 443796481. The reversal of 443796480 is 84697344.

443796480 is a `hidden beast` number, since 443 + 79 + 64 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (443796481) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41265 + ... + 50895.

Almost surely, 2^443796480 is an apocalyptic number.

443796480 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 443796480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (768951456).

443796480 is an abundant number, since it is smaller than the sum of its proper divisors (1094106432).

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

443796480 is a wasteful number, since it uses less digits than its factorization.

443796480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9662 (or 9641 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 443796480 is about 21066.4776362827. The cubic root of 443796480 is about 762.7717809272.

The spelling of 443796480 in words is "four hundred forty-three million, seven hundred ninety-six thousand, four hundred eighty".