480231360 has 504 divisors, whose sum is σ = 1992056976. Its totient is φ = 105799680.

The previous prime is 480231347. The next prime is 480231361. The reversal of 480231360 is 63132084.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (504).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480231361) 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, 5785879 + ... + 5785961.

It is an arithmetic number, because the mean of its divisors is an integer number (3952494).

Almost surely, 2^480231360 is an apocalyptic number.

480231360 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 480231360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (996028488).

480231360 is an abundant number, since it is smaller than the sum of its proper divisors (1511825616).

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

480231360 is a wasteful number, since it uses less digits than its factorization.

480231360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 480231360 is about 21914.1817095688. The cubic root of 480231360 is about 783.0993057745.

The spelling of 480231360 in words is "four hundred eighty million, two hundred thirty-one thousand, three hundred sixty".