478520 has 32 divisors (see below), whose sum is σ = 1231200. Its totient is φ = 163968.

The previous prime is 478493. The next prime is 478523. The reversal of 478520 is 25874.

478520 = T₄₃₅ + T₄₃₆ + ... + T₄₃₉.

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 478520.

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 478520.

It is not an unprimeable number, because it can be changed into a prime (478523) by changing a digit.

478520 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 575 + ... + 1134.

It is an arithmetic number, because the mean of its divisors is an integer number (38475).

2⁴⁷⁸⁵²⁰ is an apocalyptic number.

478520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

478520 is an abundant number, since it is smaller than the sum of its proper divisors (752680).

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

478520 is a wasteful number, since it uses less digits than its factorization.

478520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1727 (or 1723 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 26.

The square root of 478520 is about 691.7514004323. The cubic root of 478520 is about 78.2167976945.

The spelling of 478520 in words is "four hundred seventy-eight thousand, five hundred twenty".