478776096 has 144 divisors (see below), whose sum is σ = 1473885504. Its totient is φ = 152596224.

The previous prime is 478776047. The next prime is 478776113. The reversal of 478776096 is 690677874.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 177510 + ... + 180186.

It is an arithmetic number, because the mean of its divisors is an integer number (10235316).

Almost surely, 2^478776096 is an apocalyptic number.

478776096 is a gapful number since it is divisible by the number (46) 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 478776096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (736942752).

478776096 is an abundant number, since it is smaller than the sum of its proper divisors (995109408).

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

478776096 is a wasteful number, since it uses less digits than its factorization.

478776096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2725 (or 2705 counting only the distinct ones).

The product of its (nonzero) digits is 3556224, while the sum is 54.

The square root of 478776096 is about 21880.9528128919. The cubic root of 478776096 is about 782.3074865208.

It can be divided in two parts, 47877 and 6096, that multiplied together give a palindrome (291858192).

The spelling of 478776096 in words is "four hundred seventy-eight million, seven hundred seventy-six thousand, ninety-six".