480609194688 has 588 divisors, whose sum is σ = 1702394761320. Its totient is φ = 134096062464.

The previous prime is 480609194671. The next prime is 480609194707. The reversal of 480609194688 is 886491906084.

480609194688 is a `hidden beast` number, since 4 + 8 + 0 + 609 + 19 + 4 + 6 + 8 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (588).

It is a super-3 number, since 3×480609194688³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 98301748 + ... + 98306636.

Almost surely, 2^480609194688 is an apocalyptic number.

480609194688 is a gapful number since it is divisible by the number (48) 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 480609194688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (851197380660).

480609194688 is an abundant number, since it is smaller than the sum of its proper divisors (1221785566632).

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

480609194688 is an equidigital number, since it uses as much as digits as its factorization.

480609194688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4976 (or 4944 counting only the distinct ones).

The product of its (nonzero) digits is 23887872, while the sum is 63.

The spelling of 480609194688 in words is "four hundred eighty billion, six hundred nine million, one hundred ninety-four thousand, six hundred eighty-eight".