480004272000 has 1024 divisors, whose sum is σ = 1953586252800. Its totient is φ = 114868224000.

The previous prime is 480004271983. The next prime is 480004272001. The reversal of 480004272000 is 272400084.

It is a super-2 number, since 2×480004272000² (a number of 24 digits) contains 22 as substring.

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 (480004272001) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 394415392 + ... + 394416608.

It is an arithmetic number, because the mean of its divisors is an integer number (1907799075).

Almost surely, 2^480004272000 is an apocalyptic number.

480004272000 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 480004272000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (976793126400).

480004272000 is an abundant number, since it is smaller than the sum of its proper divisors (1473581980800).

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

480004272000 is a wasteful number, since it uses less digits than its factorization.

480004272000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1349 (or 1321 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

Adding to 480004272000 its reverse (272400084), we get a palindrome (480276672084).

The spelling of 480004272000 in words is "four hundred eighty billion, four million, two hundred seventy-two thousand".