478759680 has 288 divisors, whose sum is σ = 1942617600. Its totient is φ = 109375488.

The previous prime is 478759667. The next prime is 478759703. The reversal of 478759680 is 86957874.

478759680 is a `hidden beast` number, since 47 + 8 + 7 + 596 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 240931 + ... + 242909.

It is an arithmetic number, because the mean of its divisors is an integer number (6745200).

Almost surely, 2^478759680 is an apocalyptic number.

478759680 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 478759680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (971308800).

478759680 is an abundant number, since it is smaller than the sum of its proper divisors (1463857920).

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

478759680 is a wasteful number, since it uses less digits than its factorization.

478759680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2016 (or 1996 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The square root of 478759680 is about 21880.5776889003. The cubic root of 478759680 is about 782.2985453152.

The spelling of 478759680 in words is "four hundred seventy-eight million, seven hundred fifty-nine thousand, six hundred eighty".