480102336000 has 1280 divisors, whose sum is σ = 2134649088000. Its totient is φ = 103912243200.

The previous prime is 480102335963. The next prime is 480102336001. The reversal of 480102336000 is 633201084.

It is a happy number.

480102336000 is a `hidden beast` number, since 48 + 0 + 10 + 2 + 3 + 3 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480102336001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 229822956 + ... + 229825044.

It is an arithmetic number, because the mean of its divisors is an integer number (1667694600).

Almost surely, 2^480102336000 is an apocalyptic number.

480102336000 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 480102336000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1067324544000).

480102336000 is an abundant number, since it is smaller than the sum of its proper divisors (1654546752000).

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

480102336000 is a wasteful number, since it uses less digits than its factorization.

480102336000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2157 (or 2125 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 480102336000 its reverse (633201084), we get a palindrome (480735537084).

The spelling of 480102336000 in words is "four hundred eighty billion, one hundred two million, three hundred thirty-six thousand".