480985200 has 360 divisors, whose sum is σ = 1800191328. Its totient is φ = 118609920.

The previous prime is 480985187. The next prime is 480985207. The reversal of 480985200 is 2589084.

480985200 is a `hidden beast` number, since 48 + 0 + 98 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-3 number, since 3×480985200³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480985207) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3063522 + ... + 3063678.

Almost surely, 2^480985200 is an apocalyptic number.

480985200 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 480985200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (900095664).

480985200 is an abundant number, since it is smaller than the sum of its proper divisors (1319206128).

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

480985200 is a wasteful number, since it uses less digits than its factorization.

480985200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 480985200 is about 21931.3747859089. The cubic root of 480985200 is about 783.5088465426.

It can be divided in two parts, 4809 and 85200, that added together give a palindrome (90009).

The spelling of 480985200 in words is "four hundred eighty million, nine hundred eighty-five thousand, two hundred".