408975 has 48 divisors (see below), whose sum is σ = 833280. Its totient is φ = 172800.

The previous prime is 408971. The next prime is 408979. The reversal of 408975 is 579804.

It is an interprime number because it is at equal distance from previous prime (408971) and next prime (408979).

It is not a de Polignac number, because 408975 - 2² = 408971 is a prime.

408975 is a lucky number.

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 408975.

It is not an unprimeable number, because it can be changed into a prime (408971) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9955 + ... + 9995.

It is an arithmetic number, because the mean of its divisors is an integer number (17360).

2⁴⁰⁸⁹⁷⁵ is an apocalyptic number.

408975 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

408975 is a wasteful number, since it uses less digits than its factorization.

408975 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 408975 is about 639.5115323432. The cubic root of 408975 is about 74.2276287624.

The spelling of 408975 in words is "four hundred eight thousand, nine hundred seventy-five".