473938387200 has 540 divisors, whose sum is σ = 1799800243780. Its totient is φ = 122962821120.

The previous prime is 473938387193. The next prime is 473938387249. The reversal of 473938387200 is 2783839374.

473938387200 is a `hidden beast` number, since 47 + 393 + 8 + 3 + 8 + 7 + 200 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 14319472896 + 459618914304 = 119664^2 + 677952^2 .

It is a tau number, because it is divible by the number of its divisors (540).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 19168446 + ... + 19193154.

Almost surely, 2^473938387200 is an apocalyptic number.

473938387200 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 473938387200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (899900121890).

473938387200 is an abundant number, since it is smaller than the sum of its proper divisors (1325861856580).

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

473938387200 is a wasteful number, since it uses less digits than its factorization.

473938387200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24784 (or 24756 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 473938387200 in words is "four hundred seventy-three billion, nine hundred thirty-eight million, three hundred eighty-seven thousand, two hundred".