471938306400 has 1728 divisors, whose sum is σ = 1990042629120. Its totient is φ = 104079360000.

The previous prime is 471938306347. The next prime is 471938306449. The reversal of 471938306400 is 4603839174.

471938306400 is a `hidden beast` number, since 471 + 93 + 8 + 30 + 64 + 0 + 0 = 666.

471938306400 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 287 ways as a sum of consecutive naturals, for example, 5302677556 + ... + 5302677644.

It is an arithmetic number, because the mean of its divisors is an integer number (1151645040).

Almost surely, 2^471938306400 is an apocalyptic number.

471938306400 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 471938306400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (995021314560).

471938306400 is an abundant number, since it is smaller than the sum of its proper divisors (1518104322720).

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

471938306400 is a wasteful number, since it uses less digits than its factorization.

471938306400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 471938306400 in words is "four hundred seventy-one billion, nine hundred thirty-eight million, three hundred six thousand, four hundred".