418528 has 48 divisors (see below), whose sum is σ = 952560. Its totient is φ = 179200.

The previous prime is 418511. The next prime is 418553. The reversal of 418528 is 825814.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 418496 and 418505.

It is a congruent number.

It is an unprimeable number.

418528 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, 10188 + ... + 10228.

It is an arithmetic number, because the mean of its divisors is an integer number (19845).

2⁴¹⁸⁵²⁸ 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 418528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476280).

418528 is an abundant number, since it is smaller than the sum of its proper divisors (534032).

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

418528 is a wasteful number, since it uses less digits than its factorization.

418528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 83 counting only the distinct ones).

The product of its digits is 2560, while the sum is 28.

The square root of 418528 is about 646.9374003719. The cubic root of 418528 is about 74.8011324144.

It can be divided in two parts, 418 and 528, that added together give a triangular number (946 = T₄₃).

The spelling of 418528 in words is "four hundred eighteen thousand, five hundred twenty-eight".