473891652403200 has 1920 divisors, whose sum is σ = 1805606242033440. Its totient is φ = 122802772377600.

The previous prime is 473891652403177. The next prime is 473891652403217. The reversal of 473891652403200 is 2304256198374.

473891652403200 is a `hidden beast` number, since 4 + 7 + 3 + 8 + 91 + 6 + 524 + 0 + 3 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 875954994930 + ... + 875954995470.

It is a 1-persistent number, because it is pandigital, but 2⋅473891652403200 = 947783304806400 is not.

Almost surely, 2^{473891652403200} is an apocalyptic number.

473891652403200 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 473891652403200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (902803121016720).

473891652403200 is an abundant number, since it is smaller than the sum of its proper divisors (1331714589630240).

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

473891652403200 is an equidigital number, since it uses as much as digits as its factorization.

473891652403200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 943 (or 901 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 473891652403200 in words is "four hundred seventy-three trillion, eight hundred ninety-one billion, six hundred fifty-two million, four hundred three thousand, two hundred".