478118880 has 144 divisors (see below), whose sum is σ = 1727644464. Its totient is φ = 119992320.

The previous prime is 478118873. The next prime is 478118881. The reversal of 478118880 is 88811874.

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 (45).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (478118881) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14715 + ... + 34245.

It is an arithmetic number, because the mean of its divisors is an integer number (11997531).

Almost surely, 2^478118880 is an apocalyptic number.

478118880 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 478118880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (863822232).

478118880 is an abundant number, since it is smaller than the sum of its proper divisors (1249525584).

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

478118880 is a wasteful number, since it uses less digits than its factorization.

478118880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19569 (or 19558 counting only the distinct ones).

The product of its (nonzero) digits is 114688, while the sum is 45.

The square root of 478118880 is about 21865.9296623766. The cubic root of 478118880 is about 781.9493647484.

The spelling of 478118880 in words is "four hundred seventy-eight million, one hundred eighteen thousand, eight hundred eighty".