478220460480 has 1344 divisors, whose sum is σ = 2041605995520. Its totient is φ = 100329062400.

The previous prime is 478220460479. The next prime is 478220460481. The reversal of 478220460480 is 84064022874.

It is an interprime number because it is at equal distance from previous prime (478220460479) and next prime (478220460481).

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (478220460481) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2266447575 + ... + 2266447785.

It is an arithmetic number, because the mean of its divisors is an integer number (1519052080).

Almost surely, 2^478220460480 is an apocalyptic number.

478220460480 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 478220460480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1020802997760).

478220460480 is an abundant number, since it is smaller than the sum of its proper divisors (1563385535040).

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

478220460480 is a wasteful number, since it uses less digits than its factorization.

478220460480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 45.

The spelling of 478220460480 in words is "four hundred seventy-eight billion, two hundred twenty million, four hundred sixty thousand, four hundred eighty".