480347391373200 has 1440 divisors, whose sum is σ = 1875467149920000. Its totient is φ = 113036713574400.

The previous prime is 480347391373193. The next prime is 480347391373211. The reversal of 480347391373200 is 2373193743084.

480347391373200 is a `hidden beast` number, since 4 + 8 + 0 + 3 + 47 + 391 + 3 + 7 + 3 + 200 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 56987466586 + ... + 56987475014.

It is an arithmetic number, because the mean of its divisors is an integer number (1302407743000).

Almost surely, 2^{480347391373200} is an apocalyptic number.

480347391373200 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 480347391373200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (937733574960000).

480347391373200 is an abundant number, since it is smaller than the sum of its proper divisors (1395119758546800).

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

480347391373200 is a wasteful number, since it uses less digits than its factorization.

480347391373200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8905 (or 8891 counting only the distinct ones).

The product of its (nonzero) digits is 9144576, while the sum is 54.

The spelling of 480347391373200 in words is "four hundred eighty trillion, three hundred forty-seven billion, three hundred ninety-one million, three hundred seventy-three thousand, two hundred".