478302720000 has 1560 divisors, whose sum is σ = 1960297903872. Its totient is φ = 103219200000.

The previous prime is 478302719963. The next prime is 478302720001. The reversal of 478302720000 is 27203874.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (478302720001) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 11665919980 + ... + 11665920020.

Almost surely, 2^478302720000 is an apocalyptic number.

478302720000 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 478302720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (980148951936).

478302720000 is an abundant number, since it is smaller than the sum of its proper divisors (1481995183872).

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

478302720000 is an equidigital number, since it uses as much as digits as its factorization.

478302720000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 33.

Adding to 478302720000 its reverse (27203874), we get a palindrome (478329923874).

The spelling of 478302720000 in words is "four hundred seventy-eight billion, three hundred two million, seven hundred twenty thousand".