406528 has 22 divisors (see below), whose sum is σ = 814706. Its totient is φ = 202752.

The previous prime is 406517. The next prime is 406531. The reversal of 406528 is 825604.

406528 is nontrivially palindromic in base 7.

It can be written as a sum of positive squares in only one way, i.e., 369664 + 36864 = 608^2 + 192^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 826 + ... + 1222.

2⁴⁰⁶⁵²⁸ 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 406528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407353).

406528 is an abundant number, since it is smaller than the sum of its proper divisors (408178).

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

406528 is an equidigital number, since it uses as much as digits as its factorization.

406528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 406528 is about 637.5954830455. The cubic root of 406528 is about 74.0792916819.

The spelling of 406528 in words is "four hundred six thousand, five hundred twenty-eight".