478890 has 48 divisors (see below), whose sum is σ = 1322568. Its totient is φ = 119808.

The previous prime is 478879. The next prime is 478897. The reversal of 478890 is 98874.

It can be written as a sum of positive squares in 4 ways, for example, as 294849 + 184041 = 543^2 + 429^2 .

It is not an unprimeable number, because it can be changed into a prime (478897) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1374 + ... + 1686.

2⁴⁷⁸⁸⁹⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 478890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (661284).

478890 is an abundant number, since it is smaller than the sum of its proper divisors (843678).

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

478890 is a wasteful number, since it uses less digits than its factorization.

478890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 478890 is about 692.0187858722. The cubic root of 478890 is about 78.2369520310.

The spelling of 478890 in words is "four hundred seventy-eight thousand, eight hundred ninety".