478831288923200 has 168 divisors, whose sum is σ = 1190380603800960. Its totient is φ = 189560354457600.

The previous prime is 478831288923067. The next prime is 478831288923353. The reversal of 478831288923200 is 2329882138874.

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 23 ways as a sum of consecutive naturals, for example, 152440505 + ... + 155549895.

Almost surely, 2^{478831288923200} is an apocalyptic number.

478831288923200 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 478831288923200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (595190301900480).

478831288923200 is an abundant number, since it is smaller than the sum of its proper divisors (711549314877760).

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

478831288923200 is a wasteful number, since it uses less digits than its factorization.

478831288923200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3110405 (or 3110390 counting only the distinct ones).

The product of its (nonzero) digits is 74317824, while the sum is 65.

The spelling of 478831288923200 in words is "four hundred seventy-eight trillion, eight hundred thirty-one billion, two hundred eighty-eight million, nine hundred twenty-three thousand, two hundred".