478017584352 has 768 divisors, whose sum is σ = 1792702679040. Its totient is φ = 120313036800.

The previous prime is 478017584329. The next prime is 478017584419. The reversal of 478017584352 is 253485710874.

478017584352 is a `hidden beast` number, since 4 + 7 + 8 + 0 + 1 + 7 + 584 + 3 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 127 ways as a sum of consecutive naturals, for example, 471882598 + ... + 471883610.

It is an arithmetic number, because the mean of its divisors is an integer number (2334248280).

Almost surely, 2^478017584352 is an apocalyptic number.

478017584352 is a gapful number since it is divisible by the number (42) 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 478017584352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (896351339520).

478017584352 is an abundant number, since it is smaller than the sum of its proper divisors (1314685094688).

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

478017584352 is a wasteful number, since it uses less digits than its factorization.

478017584352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1264 (or 1250 counting only the distinct ones).

The product of its (nonzero) digits is 7526400, while the sum is 54.

The spelling of 478017584352 in words is "four hundred seventy-eight billion, seventeen million, five hundred eighty-four thousand, three hundred fifty-two".