480890880000 has 480 divisors, whose sum is σ = 1736633591550. Its totient is φ = 128188416000.

The previous prime is 480890879971. The next prime is 480890880011. The reversal of 480890880000 is 88098084.

480890880000 is a `hidden beast` number, since 480 + 8 + 90 + 8 + 80 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 4724637696 + 476166242304 = 68736^2 + 690048^2 .

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-3 number, since 3×480890880000³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 184318696 + ... + 184321304.

Almost surely, 2^480890880000 is an apocalyptic number.

480890880000 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 480890880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (868316795775).

480890880000 is an abundant number, since it is smaller than the sum of its proper divisors (1255742711550).

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

480890880000 is an frugal number, since it uses more digits than its factorization.

480890880000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2665 (or 2619 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 45.

The spelling of 480890880000 in words is "four hundred eighty billion, eight hundred ninety million, eight hundred eighty thousand".