478180320 has 48 divisors (see below), whose sum is σ = 1506269520. Its totient is φ = 127514624.

The previous prime is 478180291. The next prime is 478180321. The reversal of 478180320 is 23081874.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (478180321) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 497625 + ... + 498584.

It is an arithmetic number, because the mean of its divisors is an integer number (31380615).

Almost surely, 2^478180320 is an apocalyptic number.

478180320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

478180320 is an abundant number, since it is smaller than the sum of its proper divisors (1028089200).

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

478180320 is a wasteful number, since it uses less digits than its factorization.

478180320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 996227 (or 996219 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 478180320 is about 21867.3345426460. The cubic root of 478180320 is about 781.9828577514.

The spelling of 478180320 in words is "four hundred seventy-eight million, one hundred eighty thousand, three hundred twenty".