478797941280 has 384 divisors, whose sum is σ = 1593838632960. Its totient is φ = 120639467520.

The previous prime is 478797941257. The next prime is 478797941287. The reversal of 478797941280 is 82149797874.

It is not an unprimeable number, because it can be changed into a prime (478797941287) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 557389491 + ... + 557390349.

It is an arithmetic number, because the mean of its divisors is an integer number (4150621440).

Almost surely, 2^478797941280 is an apocalyptic number.

478797941280 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 478797941280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (796919316480).

478797941280 is an abundant number, since it is smaller than the sum of its proper divisors (1115040691680).

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

478797941280 is a wasteful number, since it uses less digits than its factorization.

478797941280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1752 (or 1744 counting only the distinct ones).

The product of its (nonzero) digits is 56899584, while the sum is 66.

The spelling of 478797941280 in words is "four hundred seventy-eight billion, seven hundred ninety-seven million, nine hundred forty-one thousand, two hundred eighty".