480984000 has 336 divisors, whose sum is σ = 1852025760. Its totient is φ = 109670400.

The previous prime is 480983969. The next prime is 480984001. The reversal of 480984000 is 489084.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-3 number, since 3×480984000³ (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480984001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1175796 + ... + 1176204.

Almost surely, 2^480984000 is an apocalyptic number.

480984000 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 480984000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (926012880).

480984000 is an abundant number, since it is smaller than the sum of its proper divisors (1371041760).

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

480984000 is a wasteful number, since it uses less digits than its factorization.

480984000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 480984000 is about 21931.3474278258. The cubic root of 480984000 is about 783.5081949554.

The spelling of 480984000 in words is "four hundred eighty million, nine hundred eighty-four thousand".