407001 has 8 divisors (see below), whose sum is σ = 620224. Its totient is φ = 232560.

The previous prime is 406993. The next prime is 407023. The reversal of 407001 is 100704.

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

It is not a de Polignac number, because 407001 - 2³ = 406993 is a prime.

It is a Duffinian number.

It is a Curzon number.

407001 is a lucky number.

It is a plaindrome in base 13.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 407001.

It is not an unprimeable number, because it can be changed into a prime (407401) 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, 9670 + ... + 9711.

It is an arithmetic number, because the mean of its divisors is an integer number (77528).

2⁴⁰⁷⁰⁰¹ is an apocalyptic number.

It is an amenable number.

407001 is a deficient number, since it is larger than the sum of its proper divisors (213223).

407001 is a wasteful number, since it uses less digits than its factorization.

407001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19391.

The product of its (nonzero) digits is 28, while the sum is 12.

The square root of 407001 is about 637.9663000504. The cubic root of 407001 is about 74.1080112486.

Adding to 407001 its reverse (100704), we get a palindrome (507705).

The spelling of 407001 in words is "four hundred seven thousand, one", and thus it is an iban number.