407485 has 8 divisors (see below), whose sum is σ = 526680. Its totient is φ = 300864.

The previous prime is 407483. The next prime is 407489. The reversal of 407485 is 584704.

It can be written as a sum of positive squares in 4 ways, for example, as 441 + 407044 = 21^2 + 638^2 .

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 407485 - 2¹ = 407483 is a prime.

407485 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (407483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3070 + ... + 3199.

It is an arithmetic number, because the mean of its divisors is an integer number (65835).

2⁴⁰⁷⁴⁸⁵ is an apocalyptic number.

It is an amenable number.

407485 is a deficient number, since it is larger than the sum of its proper divisors (119195).

407485 is a wasteful number, since it uses less digits than its factorization.

407485 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6287.

The product of its (nonzero) digits is 4480, while the sum is 28.

The square root of 407485 is about 638.3455177253. The cubic root of 407485 is about 74.1373756882.

The spelling of 407485 in words is "four hundred seven thousand, four hundred eighty-five".