478732320 has 144 divisors (see below), whose sum is σ = 1782248832. Its totient is φ = 116052480.

The previous prime is 478732301. The next prime is 478732333. The reversal of 478732320 is 23237874.

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 (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 729 + ... + 30951.

It is an arithmetic number, because the mean of its divisors is an integer number (12376728).

Almost surely, 2^478732320 is an apocalyptic number.

478732320 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 478732320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (891124416).

478732320 is an abundant number, since it is smaller than the sum of its proper divisors (1303516512).

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

478732320 is a wasteful number, since it uses less digits than its factorization.

478732320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30255 (or 30244 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 478732320 is about 21879.9524679557. The cubic root of 478732320 is about 782.2836428517.

The spelling of 478732320 in words is "four hundred seventy-eight million, seven hundred thirty-two thousand, three hundred twenty".