478778160 has 160 divisors (see below), whose sum is σ = 1702605312. Its totient is φ = 109025280.

The previous prime is 478778159. The next prime is 478778213. The reversal of 478778160 is 61877874.

It is a Cunningham number, because it is equal to 21881²-1.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 875007 + ... + 875553.

Almost surely, 2^478778160 is an apocalyptic number.

478778160 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 478778160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (851302656).

478778160 is an abundant number, since it is smaller than the sum of its proper divisors (1223827152).

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

478778160 is a wasteful number, since it uses less digits than its factorization.

478778160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1091 (or 1085 counting only the distinct ones).

The product of its (nonzero) digits is 526848, while the sum is 48.

The square root of 478778160 is about 21880.9999771491. Note that the first 4 decimals coincide. The cubic root of 478778160 is about 782.3086106930.

The spelling of 478778160 in words is "four hundred seventy-eight million, seven hundred seventy-eight thousand, one hundred sixty".