407901 has 8 divisors (see below), whose sum is σ = 585760. Its totient is φ = 250992.

The previous prime is 407899. The next prime is 407917. The reversal of 407901 is 109704.

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

It is not a de Polignac number, because 407901 - 2¹ = 407899 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 (407971) 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, 5191 + ... + 5268.

It is an arithmetic number, because the mean of its divisors is an integer number (73220).

2⁴⁰⁷⁹⁰¹ is an apocalyptic number.

It is an amenable number.

407901 is a deficient number, since it is larger than the sum of its proper divisors (177859).

407901 is a wasteful number, since it uses less digits than its factorization.

407901 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10475.

The product of its (nonzero) digits is 252, while the sum is 21.

The square root of 407901 is about 638.6712769493. The cubic root of 407901 is about 74.1625959695.

The spelling of 407901 in words is "four hundred seven thousand, nine hundred one".