478521 has 16 divisors (see below), whose sum is σ = 729600. Its totient is φ = 309744.

The previous prime is 478493. The next prime is 478523. The reversal of 478521 is 125874.

It is not a de Polignac number, because 478521 - 2¹⁰ = 477497 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an alternating number because its digits alternate between even and odd.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (478523) 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 15 ways as a sum of consecutive naturals, for example, 760 + ... + 1238.

It is an arithmetic number, because the mean of its divisors is an integer number (45600).

2⁴⁷⁸⁵²¹ is an apocalyptic number.

It is an amenable number.

478521 is a deficient number, since it is larger than the sum of its proper divisors (251079).

478521 is a wasteful number, since it uses less digits than its factorization.

478521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525 (or 519 counting only the distinct ones).

The product of its digits is 2240, while the sum is 27.

The square root of 478521 is about 691.7521232349. The cubic root of 478521 is about 78.2168521797.

It can be divided in two parts, 478 and 521, that added together give a palindrome (999).

The spelling of 478521 in words is "four hundred seventy-eight thousand, five hundred twenty-one".