408987 has 12 divisors (see below), whose sum is σ = 611520. Its totient is φ = 263088.

The previous prime is 408979. The next prime is 408997. The reversal of 408987 is 789804.

It is not a de Polignac number, because 408987 - 2³ = 408979 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (408997) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 523 + ... + 1044.

It is an arithmetic number, because the mean of its divisors is an integer number (50960).

2⁴⁰⁸⁹⁸⁷ is an apocalyptic number.

408987 is a deficient number, since it is larger than the sum of its proper divisors (202533).

408987 is a wasteful number, since it uses less digits than its factorization.

408987 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1602 (or 1599 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 408987 is about 639.5209144352. The cubic root of 408987 is about 74.2283547422.

The spelling of 408987 in words is "four hundred eight thousand, nine hundred eighty-seven".