414528 has 56 divisors (see below), whose sum is σ = 1170432. Its totient is φ = 129024.

The previous prime is 414521. The next prime is 414539. The reversal of 414528 is 825414.

414528 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a plaindrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 414498 and 414507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414521) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 3201 + ... + 3327.

2⁴¹⁴⁵²⁸ is an apocalyptic number.

414528 is a gapful number since it is divisible by the number (48) 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 414528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (585216).

414528 is an abundant number, since it is smaller than the sum of its proper divisors (755904).

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

414528 is a wasteful number, since it uses less digits than its factorization.

414528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 149 counting only the distinct ones).

The product of its digits is 1280, while the sum is 24.

The square root of 414528 is about 643.8384890638. The cubic root of 414528 is about 74.5620700979.

The spelling of 414528 in words is "four hundred fourteen thousand, five hundred twenty-eight".