478054644480 has 1296 divisors, whose sum is σ = 2042794563264. Its totient is φ = 101072240640.

The previous prime is 478054644451. The next prime is 478054644481. The reversal of 478054644480 is 84446450874.

478054644480 is a `hidden beast` number, since 4 + 7 + 80 + 5 + 46 + 44 + 480 = 666.

It is not an unprimeable number, because it can be changed into a prime (478054644481) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1701261940 + ... + 1701262220.

Almost surely, 2^478054644480 is an apocalyptic number.

478054644480 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 478054644480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1021397281632).

478054644480 is an abundant number, since it is smaller than the sum of its proper divisors (1564739918784).

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

478054644480 is a wasteful number, since it uses less digits than its factorization.

478054644480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 13762560, while the sum is 54.

The spelling of 478054644480 in words is "four hundred seventy-eight billion, fifty-four million, six hundred forty-four thousand, four hundred eighty".