480245707200 has 1008 divisors, whose sum is σ = 1911426098400. Its totient is φ = 105128755200.

The previous prime is 480245707199. The next prime is 480245707223. The reversal of 480245707200 is 2707542084.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1234564606 + ... + 1234564994.

It is an arithmetic number, because the mean of its divisors is an integer number (1896256050).

Almost surely, 2^480245707200 is an apocalyptic number.

480245707200 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 480245707200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (955713049200).

480245707200 is an abundant number, since it is smaller than the sum of its proper divisors (1431180391200).

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

480245707200 is a wasteful number, since it uses less digits than its factorization.

480245707200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 638 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 125440, while the sum is 39.

The spelling of 480245707200 in words is "four hundred eighty billion, two hundred forty-five million, seven hundred seven thousand, two hundred".