480153600 has 234 divisors, whose sum is σ = 1723107906. Its totient is φ = 127795200.

The previous prime is 480153533. The next prime is 480153613. The reversal of 480153600 is 6351084.

480153600 is a `hidden beast` number, since 4 + 8 + 0 + 1 + 53 + 600 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 9437184 + 470716416 = 3072^2 + 21696^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 921340 + ... + 921860.

It is an arithmetic number, because the mean of its divisors is an integer number (7363709).

Almost surely, 2^480153600 is an apocalyptic number.

480153600 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 480153600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (861553953).

480153600 is an abundant number, since it is smaller than the sum of its proper divisors (1242954306).

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

480153600 is a wasteful number, since it uses less digits than its factorization.

480153600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 561 (or 531 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 480153600 is about 21912.4074441856. The cubic root of 480153600 is about 783.0570365032.

It can be divided in two parts, 48015 and 3600, that added together give a palindrome (51615).

The spelling of 480153600 in words is "four hundred eighty million, one hundred fifty-three thousand, six hundred".