478939353984 has 1024 divisors, whose sum is σ = 1791465984000. Its totient is φ = 122624409600.

The previous prime is 478939353967. The next prime is 478939354039. The reversal of 478939353984 is 489353939874.

478939353984 is a `hidden beast` number, since 4 + 7 + 8 + 9 + 3 + 9 + 3 + 539 + 84 = 666.

It is a super-2 number, since 2×478939353984² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1987300104 + ... + 1987300344.

It is an arithmetic number, because the mean of its divisors is an integer number (1749478500).

Almost surely, 2^478939353984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 478939353984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (895732992000).

478939353984 is an abundant number, since it is smaller than the sum of its proper divisors (1312526630016).

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

478939353984 is a wasteful number, since it uses less digits than its factorization.

478939353984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444 (or 426 counting only the distinct ones).

The product of its digits is 705438720, while the sum is 72.

The spelling of 478939353984 in words is "four hundred seventy-eight billion, nine hundred thirty-nine million, three hundred fifty-three thousand, nine hundred eighty-four".