480478438200 has 192 divisors, whose sum is σ = 1495001635200. Its totient is φ = 127653926400.

The previous prime is 480478438183. The next prime is 480478438289. The reversal of 480478438200 is 2834874084.

It is a happy number.

It is a super-2 number, since 2×480478438200² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 480478438200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 239878399 + ... + 239880401.

It is an arithmetic number, because the mean of its divisors is an integer number (7786466850).

Almost surely, 2^480478438200 is an apocalyptic number.

480478438200 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 480478438200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (747500817600).

480478438200 is an abundant number, since it is smaller than the sum of its proper divisors (1014523197000).

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

480478438200 is a wasteful number, since it uses less digits than its factorization.

480478438200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3302 (or 3293 counting only the distinct ones).

The product of its (nonzero) digits is 1376256, while the sum is 48.

The spelling of 480478438200 in words is "four hundred eighty billion, four hundred seventy-eight million, four hundred thirty-eight thousand, two hundred".