478778140 has 48 divisors (see below), whose sum is σ = 1074427200. Its totient is φ = 178578432.

The previous prime is 478778137. The next prime is 478778141. The reversal of 478778140 is 41877874.

It is a super-4 number, since 4×478778140⁴ (a number of 36 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (478778141) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 30601 + ... + 43519.

It is an arithmetic number, because the mean of its divisors is an integer number (22383900).

Almost surely, 2^478778140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 478778140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537213600).

478778140 is an abundant number, since it is smaller than the sum of its proper divisors (595649060).

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

478778140 is a wasteful number, since it uses less digits than its factorization.

478778140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13054 (or 13052 counting only the distinct ones).

The product of its (nonzero) digits is 351232, while the sum is 46.

The square root of 478778140 is about 21880.9995201316. Note that the first 3 decimals coincide. The cubic root of 478778140 is about 782.3085997999.

The spelling of 478778140 in words is "four hundred seventy-eight million, seven hundred seventy-eight thousand, one hundred forty".