473431392000 has 1440 divisors, whose sum is σ = 2041788228480. Its totient is φ = 106699161600.

The previous prime is 473431391981. The next prime is 473431392001. The reversal of 473431392000 is 293134374.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (473431392001) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1759967866 + ... + 1759968134.

It is an arithmetic number, because the mean of its divisors is an integer number (1417908492).

Almost surely, 2^473431392000 is an apocalyptic number.

473431392000 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 473431392000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1020894114240).

473431392000 is an abundant number, since it is smaller than the sum of its proper divisors (1568356836480).

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

473431392000 is an equidigital number, since it uses as much as digits as its factorization.

473431392000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The spelling of 473431392000 in words is "four hundred seventy-three billion, four hundred thirty-one million, three hundred ninety-two thousand".