480733600 has 144 divisors (see below), whose sum is σ = 1224531000. Its totient is φ = 184135680.

The previous prime is 480733577. The next prime is 480733601. The reversal of 480733600 is 6337084.

It can be written as a sum of positive squares in 12 ways, for example, as 60155536 + 420578064 = 7756^2 + 20508^2 .

It is a super-3 number, since 3×480733600³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (480733601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3226326 + ... + 3226474.

Almost surely, 2^480733600 is an apocalyptic number.

480733600 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 480733600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (612265500).

480733600 is an abundant number, since it is smaller than the sum of its proper divisors (743797400).

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

480733600 is a wasteful number, since it uses less digits than its factorization.

480733600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 31.

The square root of 480733600 is about 21925.6379610720. The cubic root of 480733600 is about 783.3722067123.

The spelling of 480733600 in words is "four hundred eighty million, seven hundred thirty-three thousand, six hundred".