478278092448 has 960 divisors, whose sum is σ = 1623533611392. Its totient is φ = 137116385280.

The previous prime is 478278092441. The next prime is 478278092503. The reversal of 478278092448 is 844290872874.

478278092448 is a `hidden beast` number, since 4 + 7 + 8 + 27 + 80 + 92 + 448 = 666.

It is not an unprimeable number, because it can be changed into a prime (478278092441) 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 159 ways as a sum of consecutive naturals, for example, 4930701936 + ... + 4930702032.

Almost surely, 2^478278092448 is an apocalyptic number.

478278092448 is a gapful number since it is divisible by the number (48) 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 478278092448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (811766805696).

478278092448 is an abundant number, since it is smaller than the sum of its proper divisors (1145255518944).

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

478278092448 is a wasteful number, since it uses less digits than its factorization.

478278092448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 57802752, while the sum is 63.

The spelling of 478278092448 in words is "four hundred seventy-eight billion, two hundred seventy-eight million, ninety-two thousand, four hundred forty-eight".