478686990 has 64 divisors (see below), whose sum is σ = 1178343936. Its totient is φ = 124405632.

The previous prime is 478686977. The next prime is 478686997. The reversal of 478686990 is 99686874.

It is a super-3 number, since 3×478686990³ (a number of 27 digits) contains 333 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 478686990.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (478686997) 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 31 ways as a sum of consecutive naturals, for example, 258247 + ... + 260093.

It is an arithmetic number, because the mean of its divisors is an integer number (18411624).

Almost surely, 2^478686990 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 478686990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (589171968).

478686990 is an abundant number, since it is smaller than the sum of its proper divisors (699656946).

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

478686990 is a wasteful number, since it uses less digits than its factorization.

478686990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2073.

The product of its (nonzero) digits is 5225472, while the sum is 57.

The square root of 478686990 is about 21878.9165636692. The cubic root of 478686990 is about 782.2589512267.

The spelling of 478686990 in words is "four hundred seventy-eight million, six hundred eighty-six thousand, nine hundred ninety".