473878713987000 has 1536 divisors, whose sum is σ = 1958734597248000. Its totient is φ = 105617414246400.

The previous prime is 473878713986999. The next prime is 473878713987001. The reversal of 473878713987000 is 789317878374.

473878713987000 is a `hidden beast` number, since 4 + 7 + 38 + 78 + 71 + 398 + 70 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (473878713986999) and next prime (473878713987001).

It is a super-2 number, since 2×473878713987000² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 473878713987000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (473878713987001) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 35214284272 + ... + 35214297728.

It is an arithmetic number, because the mean of its divisors is an integer number (1275217836750).

Almost surely, 2^{473878713987000} is an apocalyptic number.

473878713987000 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 473878713987000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (979367298624000).

473878713987000 is an abundant number, since it is smaller than the sum of its proper divisors (1484855883261000).

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

473878713987000 is a wasteful number, since it uses less digits than its factorization.

473878713987000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14163 (or 14136 counting only the distinct ones).

The product of its (nonzero) digits is 398297088, while the sum is 72.

The spelling of 473878713987000 in words is "four hundred seventy-three trillion, eight hundred seventy-eight billion, seven hundred thirteen million, nine hundred eighty-seven thousand".