478890630 has 240 divisors, whose sum is σ = 1441748880. Its totient is φ = 113654016.

The previous prime is 478890617. The next prime is 478890631. The reversal of 478890630 is 36098874.

It is a happy number.

478890630 is a `hidden beast` number, since 4 + 7 + 8 + 8 + 9 + 0 + 630 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (478890631) 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 119 ways as a sum of consecutive naturals, for example, 12942972 + ... + 12943008.

It is an arithmetic number, because the mean of its divisors is an integer number (6007287).

Almost surely, 2^478890630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 478890630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (720874440).

478890630 is an abundant number, since it is smaller than the sum of its proper divisors (962858250).

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

478890630 is a wasteful number, since it uses less digits than its factorization.

478890630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 478890630 is about 21883.5698641698. The cubic root of 478890630 is about 782.3698633900.

The spelling of 478890630 in words is "four hundred seventy-eight million, eight hundred ninety thousand, six hundred thirty".