478646874 has 64 divisors (see below), whose sum is σ = 1119242880. Its totient is φ = 151424640.

The previous prime is 478646873. The next prime is 478646887.

478646874 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 478646874.

It is not an unprimeable number, because it can be changed into a prime (478646873) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 78997 + ... + 84839.

It is an arithmetic number, because the mean of its divisors is an integer number (17488170).

Almost surely, 2^478646874 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 478646874, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (559621440).

478646874 is an abundant number, since it is smaller than the sum of its proper divisors (640596006).

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

478646874 is a wasteful number, since it uses less digits than its factorization.

478646874 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5932 (or 5926 counting only the distinct ones).

The product of its digits is 7225344, while the sum is 54.

The square root of 478646874 is about 21877.9997714599. Note that the first 3 decimals coincide. The cubic root of 478646874 is about 782.2370984103.

The spelling of 478646874 in words is "four hundred seventy-eight million, six hundred forty-six thousand, eight hundred seventy-four".