480488480400 has 240 divisors, whose sum is σ = 1589733250560. Its totient is φ = 123925401600.

The previous prime is 480488480393. The next prime is 480488480443. The reversal of 480488480400 is 4084884084.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 480488480400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 101516434 + ... + 101521166.

It is an arithmetic number, because the mean of its divisors is an integer number (6623888544).

Almost surely, 2^480488480400 is an apocalyptic number.

480488480400 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 480488480400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (794866625280).

480488480400 is an abundant number, since it is smaller than the sum of its proper divisors (1109244770160).

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

480488480400 is a wasteful number, since it uses less digits than its factorization.

480488480400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7514 (or 7503 counting only the distinct ones).

The product of its (nonzero) digits is 1048576, while the sum is 48.

The spelling of 480488480400 in words is "four hundred eighty billion, four hundred eighty-eight million, four hundred eighty thousand, four hundred".