408528 has 30 divisors (see below), whose sum is σ = 1143714. Its totient is φ = 136128.

The previous prime is 408497. The next prime is 408533. The reversal of 408528 is 825804.

It can be written as a sum of positive squares in only one way, i.e., 242064 + 166464 = 492^2 + 408^2 .

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 408528.

It is an unprimeable number.

408528 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 5 ways as a sum of consecutive naturals, for example, 1275 + ... + 1562.

2⁴⁰⁸⁵²⁸ is an apocalyptic number.

408528 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

408528 is an abundant number, since it is smaller than the sum of its proper divisors (735186).

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

408528 is a wasteful number, since it uses less digits than its factorization.

408528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2851 (or 2842 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 408528 is about 639.1619513081. The cubic root of 408528 is about 74.2005758898.

The spelling of 408528 in words is "four hundred eight thousand, five hundred twenty-eight".