480942489600 has 720 divisors, whose sum is σ = 1798482285600. Its totient is φ = 127401984000.

The previous prime is 480942489583. The next prime is 480942489619. The reversal of 480942489600 is 6984249084.

480942489600 is a `hidden beast` number, since 4 + 8 + 0 + 9 + 4 + 24 + 8 + 9 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-3 number, since 3×480942489600³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3185049525 + ... + 3185049675.

Almost surely, 2^480942489600 is an apocalyptic number.

480942489600 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 480942489600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (899241142800).

480942489600 is an abundant number, since it is smaller than the sum of its proper divisors (1317539796000).

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

480942489600 is an frugal number, since it uses more digits than its factorization.

480942489600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 480942489600 in words is "four hundred eighty billion, nine hundred forty-two million, four hundred eighty-nine thousand, six hundred".