407983 has 8 divisors (see below), whose sum is σ = 438048. Its totient is φ = 378624.

The previous prime is 407977. The next prime is 407993. The reversal of 407983 is 389704.

It is a happy number.

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

It is not a de Polignac number, because 407983 - 2⁹ = 407471 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (407923) 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, 1635 + ... + 1867.

It is an arithmetic number, because the mean of its divisors is an integer number (54756).

2⁴⁰⁷⁹⁸³ is an apocalyptic number.

407983 is a deficient number, since it is larger than the sum of its proper divisors (30065).

407983 is a wasteful number, since it uses less digits than its factorization.

407983 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353.

The product of its (nonzero) digits is 6048, while the sum is 31.

The square root of 407983 is about 638.7354695020. The cubic root of 407983 is about 74.1675652516.

The spelling of 407983 in words is "four hundred seven thousand, nine hundred eighty-three".