472484688421200 has 1920 divisors, whose sum is σ = 1952093857996800. Its totient is φ = 95006574673920.

The previous prime is 472484688421199. The next prime is 472484688421223. The reversal of 472484688421200 is 2124886484274.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 99282344421 + ... + 99282349179.

It is an arithmetic number, because the mean of its divisors is an integer number (1016715551040).

Almost surely, 2^{472484688421200} is an apocalyptic number.

472484688421200 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 472484688421200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (976046928998400).

472484688421200 is an abundant number, since it is smaller than the sum of its proper divisors (1479609169575600).

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

472484688421200 is a wasteful number, since it uses less digits than its factorization.

472484688421200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5229 (or 5218 counting only the distinct ones).

The product of its (nonzero) digits is 44040192, while the sum is 60.

The spelling of 472484688421200 in words is "four hundred seventy-two trillion, four hundred eighty-four billion, six hundred eighty-eight million, four hundred twenty-one thousand, two hundred".