478172914560 has 384 divisors, whose sum is σ = 1879622184960. Its totient is φ = 110880337920.

The previous prime is 478172914523. The next prime is 478172914561. The reversal of 478172914560 is 65419271874.

478172914560 is a `hidden beast` number, since 4 + 7 + 8 + 1 + 72 + 9 + 1 + 4 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 478172914497 and 478172914506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (478172914561) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1293217 + ... + 1621343.

It is an arithmetic number, because the mean of its divisors is an integer number (4894849440).

Almost surely, 2^478172914560 is an apocalyptic number.

478172914560 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 478172914560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (939811092480).

478172914560 is an abundant number, since it is smaller than the sum of its proper divisors (1401449270400).

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

478172914560 is a wasteful number, since it uses less digits than its factorization.

478172914560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328186 (or 328171 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 478172914560 in words is "four hundred seventy-eight billion, one hundred seventy-two million, nine hundred fourteen thousand, five hundred sixty".