478733850 has 144 divisors (see below), whose sum is σ = 1477494720. Its totient is φ = 108864000.

The previous prime is 478733819. The next prime is 478733851. The reversal of 478733850 is 58337874.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 478733796 and 478733805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (478733851) 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 71 ways as a sum of consecutive naturals, for example, 1193650 + ... + 1194050.

It is an arithmetic number, because the mean of its divisors is an integer number (10260380).

Almost surely, 2^478733850 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 478733850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (738747360).

478733850 is an abundant number, since it is smaller than the sum of its proper divisors (998760870).

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

478733850 is a wasteful number, since it uses less digits than its factorization.

478733850 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 805 (or 797 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The square root of 478733850 is about 21879.9874314406. The cubic root of 478733850 is about 782.2844762282.

The spelling of 478733850 in words is "four hundred seventy-eight million, seven hundred thirty-three thousand, eight hundred fifty".