478740 has 48 divisors (see below), whose sum is σ = 1370880. Its totient is φ = 124800.

The previous prime is 478739. The next prime is 478741. The reversal of 478740 is 47874.

It is an interprime number because it is at equal distance from previous prime (478739) and next prime (478741).

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 478698 and 478707.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 478740.

It is not an unprimeable number, because it can be changed into a prime (478741) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4690 + ... + 4790.

It is an arithmetic number, because the mean of its divisors is an integer number (28560).

2⁴⁷⁸⁷⁴⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 478740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (685440).

478740 is an abundant number, since it is smaller than the sum of its proper divisors (892140).

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

478740 is a wasteful number, since it uses less digits than its factorization.

478740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 30.

The square root of 478740 is about 691.9103988234. The cubic root of 478740 is about 78.2287826057.

The spelling of 478740 in words is "four hundred seventy-eight thousand, seven hundred forty".