480380846400 has 1344 divisors, whose sum is σ = 2181085401600. Its totient is φ = 100143267840.

The previous prime is 480380846381. The next prime is 480380846401. The reversal of 480380846400 is 4648083084.

480380846400 is a `hidden beast` number, since 480 + 38 + 0 + 84 + 64 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480380846401) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 349876114 + ... + 349877486.

It is an arithmetic number, because the mean of its divisors is an integer number (1622831400).

Almost surely, 2^480380846400 is an apocalyptic number.

480380846400 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 480380846400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1090542700800).

480380846400 is an abundant number, since it is smaller than the sum of its proper divisors (1700704555200).

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

480380846400 is a wasteful number, since it uses less digits than its factorization.

480380846400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1513 (or 1492 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The spelling of 480380846400 in words is "four hundred eighty billion, three hundred eighty million, eight hundred forty-six thousand, four hundred".