407004 has 24 divisors (see below), whose sum is σ = 1023120. Its totient is φ = 125184.

The previous prime is 406993. The next prime is 407023. The reversal of 407004 is 400704.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 407004.

It is an unprimeable number.

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, 1149 + ... + 1460.

It is an arithmetic number, because the mean of its divisors is an integer number (42630).

2⁴⁰⁷⁰⁰⁴ is an apocalyptic number.

It is an amenable number.

407004 is an abundant number, since it is smaller than the sum of its proper divisors (616116).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

407004 is a wasteful number, since it uses less digits than its factorization.

407004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2629 (or 2627 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 15.

The square root of 407004 is about 637.9686512674. The cubic root of 407004 is about 74.1081933313.

Adding to 407004 its reverse (400704), we get a palindrome (807708).

It can be divided in two parts, 40700 and 4, that added together give a palindrome (40704).

The spelling of 407004 in words is "four hundred seven thousand, four", and thus it is an iban number.