407987 has 8 divisors (see below), whose sum is σ = 435600. Its totient is φ = 381024.

The previous prime is 407977. The next prime is 407993. The reversal of 407987 is 789704.

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

It is a cyclic number.

It is not a de Polignac number, because 407987 - 2⁴ = 407971 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (407917) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1973 + ... + 2169.

It is an arithmetic number, because the mean of its divisors is an integer number (54450).

2⁴⁰⁷⁹⁸⁷ is an apocalyptic number.

407987 is a deficient number, since it is larger than the sum of its proper divisors (27613).

407987 is a wasteful number, since it uses less digits than its factorization.

407987 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325.

The product of its (nonzero) digits is 14112, while the sum is 35.

The square root of 407987 is about 638.7386006811. The cubic root of 407987 is about 74.1678076386.

The spelling of 407987 in words is "four hundred seven thousand, nine hundred eighty-seven".