478788160 has 56 divisors (see below), whose sum is σ = 1167953976. Its totient is φ = 186839040.

The previous prime is 478788151. The next prime is 478788169. The reversal of 478788160 is 61887874.

It is an interprime number because it is at equal distance from previous prime (478788151) and next prime (478788169).

It can be written as a sum of positive squares in 4 ways, for example, as 31719424 + 447068736 = 5632^2 + 21144^2 .

It is not an unprimeable number, because it can be changed into a prime (478788169) 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, 5127 + ... + 31366.

It is an arithmetic number, because the mean of its divisors is an integer number (20856321).

Almost surely, 2^478788160 is an apocalyptic number.

478788160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

478788160 is an abundant number, since it is smaller than the sum of its proper divisors (689165816).

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

478788160 is a wasteful number, since it uses less digits than its factorization.

478788160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36551 (or 36541 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 49.

The square root of 478788160 is about 21881.2284847081. The cubic root of 478788160 is about 782.3140572180.

The spelling of 478788160 in words is "four hundred seventy-eight million, seven hundred eighty-eight thousand, one hundred sixty".