478482729120 has 576 divisors, whose sum is σ = 1845723438720. Its totient is φ = 115684208640.

The previous prime is 478482729107. The next prime is 478482729167. The reversal of 478482729120 is 21927284874.

478482729120 is a `hidden beast` number, since 4 + 7 + 8 + 482 + 72 + 91 + 2 + 0 = 666.

It is a super-2 number, since 2×478482729120² (a number of 24 digits) contains 22 as substring.

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

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 95 ways as a sum of consecutive naturals, for example, 238882039 + ... + 238884041.

It is an arithmetic number, because the mean of its divisors is an integer number (3204380970).

Almost surely, 2^478482729120 is an apocalyptic number.

478482729120 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 478482729120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (922861719360).

478482729120 is an abundant number, since it is smaller than the sum of its proper divisors (1367240709600).

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

478482729120 is a wasteful number, since it uses less digits than its factorization.

478482729120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2506 (or 2481 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 54.

The spelling of 478482729120 in words is "four hundred seventy-eight billion, four hundred eighty-two million, seven hundred twenty-nine thousand, one hundred twenty".