478335660600 has 768 divisors, whose sum is σ = 1863343595520. Its totient is φ = 98987212800.

The previous prime is 478335660563. The next prime is 478335660601. The reversal of 478335660600 is 6066533874.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 478335660600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (478335660601) 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, 436039252 + ... + 436040348.

It is an arithmetic number, because the mean of its divisors is an integer number (2426228640).

Almost surely, 2^478335660600 is an apocalyptic number.

478335660600 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 478335660600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (931671797760).

478335660600 is an abundant number, since it is smaller than the sum of its proper divisors (1385007934920).

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

478335660600 is a wasteful number, since it uses less digits than its factorization.

478335660600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1368 (or 1359 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 48.

The spelling of 478335660600 in words is "four hundred seventy-eight billion, three hundred thirty-five million, six hundred sixty thousand, six hundred".