478627726368400 has 360 divisors, whose sum is σ = 1370627043094080. Its totient is φ = 157323080678400.

The previous prime is 478627726368347. The next prime is 478627726368409. The reversal of 478627726368400 is 4863627726874.

It is a Harshad number since it is a multiple of its sum of digits (70).

It is a self number, because there is not a number n which added to its sum of digits gives 478627726368400.

It is not an unprimeable number, because it can be changed into a prime (478627726368409) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 287084406 + ... + 288746794.

It is an arithmetic number, because the mean of its divisors is an integer number (3807297341928).

Almost surely, 2^{478627726368400} is an apocalyptic number.

478627726368400 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 478627726368400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (685313521547040).

478627726368400 is an abundant number, since it is smaller than the sum of its proper divisors (891999316725680).

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

478627726368400 is a wasteful number, since it uses less digits than its factorization.

478627726368400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1662583 (or 1662541 counting only the distinct ones).

The product of its (nonzero) digits is 910393344, while the sum is 70.

The spelling of 478627726368400 in words is "four hundred seventy-eight trillion, six hundred twenty-seven billion, seven hundred twenty-six million, three hundred sixty-eight thousand, four hundred".