408993 has 8 divisors (see below), whose sum is σ = 587328. Its totient is φ = 251664.

The previous prime is 408979. The next prime is 408997. The reversal of 408993 is 399804.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 408993 - 2¹⁰ = 407969 is a prime.

It is a Curzon number.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 5205 + ... + 5282.

It is an arithmetic number, because the mean of its divisors is an integer number (73416).

2⁴⁰⁸⁹⁹³ is an apocalyptic number.

It is an amenable number.

408993 is a deficient number, since it is larger than the sum of its proper divisors (178335).

408993 is a wasteful number, since it uses less digits than its factorization.

408993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10503.

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 408993 is about 639.5256054295. The cubic root of 408993 is about 74.2287177268.

The spelling of 408993 in words is "four hundred eight thousand, nine hundred ninety-three".