480982400 has 192 divisors, whose sum is σ = 1263535200. Its totient is φ = 180633600.

The previous prime is 480982387. The next prime is 480982409. The reversal of 480982400 is 4289084.

It is a super-3 number, since 3×480982400³ (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 (480982409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6588764 + ... + 6588836.

Almost surely, 2^480982400 is an apocalyptic number.

480982400 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 480982400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (631767600).

480982400 is an abundant number, since it is smaller than the sum of its proper divisors (782552800).

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

480982400 is a wasteful number, since it uses less digits than its factorization.

480982400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 35.

The square root of 480982400 is about 21931.3109503285. The cubic root of 480982400 is about 783.5073261708.

The spelling of 480982400 in words is "four hundred eighty million, nine hundred eighty-two thousand, four hundred".