477422478720 has 1152 divisors, whose sum is σ = 1970694835200. Its totient is φ = 106019020800.

The previous prime is 477422478719. The next prime is 477422478761. The reversal of 477422478720 is 27874224774.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 410508859 + ... + 410510021.

It is an arithmetic number, because the mean of its divisors is an integer number (1710672600).

Almost surely, 2^477422478720 is an apocalyptic number.

477422478720 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 477422478720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (985347417600).

477422478720 is an abundant number, since it is smaller than the sum of its proper divisors (1493272356480).

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

477422478720 is a wasteful number, since it uses less digits than its factorization.

477422478720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1260 (or 1234 counting only the distinct ones).

The product of its (nonzero) digits is 9834496, while the sum is 54.

The spelling of 477422478720 in words is "four hundred seventy-seven billion, four hundred twenty-two million, four hundred seventy-eight thousand, seven hundred twenty".