478505872416 has 384 divisors, whose sum is σ = 1504709498880. Its totient is φ = 131226624000.

The previous prime is 478505872409. The next prime is 478505872421. The reversal of 478505872416 is 614278505874.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 486780661 + ... + 486781643.

It is an arithmetic number, because the mean of its divisors is an integer number (3918514320).

Almost surely, 2^478505872416 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 478505872416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (752354749440).

478505872416 is an abundant number, since it is smaller than the sum of its proper divisors (1026203626464).

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

478505872416 is a wasteful number, since it uses less digits than its factorization.

478505872416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1680 (or 1672 counting only the distinct ones).

The product of its (nonzero) digits is 15052800, while the sum is 57.

The spelling of 478505872416 in words is "four hundred seventy-eight billion, five hundred five million, eight hundred seventy-two thousand, four hundred sixteen".