478932480 has 480 divisors, whose sum is σ = 1887066720. Its totient is φ = 115015680.

The previous prime is 478932479. The next prime is 478932511. The reversal of 478932480 is 84239874.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a zygodrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11681260 + ... + 11681300.

It is an arithmetic number, because the mean of its divisors is an integer number (3931389).

Almost surely, 2^478932480 is an apocalyptic number.

478932480 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 478932480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (943533360).

478932480 is an abundant number, since it is smaller than the sum of its proper divisors (1408134240).

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

478932480 is a wasteful number, since it uses less digits than its factorization.

478932480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 478932480 is about 21884.5260401042. The cubic root of 478932480 is about 782.3926530230.

The spelling of 478932480 in words is "four hundred seventy-eight million, nine hundred thirty-two thousand, four hundred eighty".