479854248160 has 576 divisors, whose sum is σ = 1444674813120. Its totient is φ = 149564620800.

The previous prime is 479854248103. The next prime is 479854248187. The reversal of 479854248160 is 61842458974.

It is a junction number, because it is equal to n+sod(n) for n = 479854248095 and 479854248104.

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 95 ways as a sum of consecutive naturals, for example, 578834626 + ... + 578835454.

It is an arithmetic number, because the mean of its divisors is an integer number (2508115995).

Almost surely, 2^479854248160 is an apocalyptic number.

479854248160 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 479854248160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (722337406560).

479854248160 is an abundant number, since it is smaller than the sum of its proper divisors (964820564960).

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

479854248160 is a wasteful number, since it uses less digits than its factorization.

479854248160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1019 (or 1004 counting only the distinct ones).

The product of its (nonzero) digits is 15482880, while the sum is 58.

The spelling of 479854248160 in words is "four hundred seventy-nine billion, eight hundred fifty-four million, two hundred forty-eight thousand, one hundred sixty".