478240 has 72 divisors (see below), whose sum is σ = 1335852. Its totient is φ = 161280.

The previous prime is 478213. The next prime is 478241. The reversal of 478240 is 42874.

It can be written as a sum of positive squares in 2 ways, for example, as 414736 + 63504 = 644^2 + 252^2 .

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (478241) by changing a digit.

478240 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7810 + ... + 7870.

2⁴⁷⁸²⁴⁰ is an apocalyptic number.

478240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 478240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (667926).

478240 is an abundant number, since it is smaller than the sum of its proper divisors (857612).

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

478240 is a wasteful number, since it uses less digits than its factorization.

478240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 25.

The square root of 478240 is about 691.5489859728. The cubic root of 478240 is about 78.2015388573.

The spelling of 478240 in words is "four hundred seventy-eight thousand, two hundred forty".