407204 has 12 divisors (see below), whose sum is σ = 814464. Its totient is φ = 174504.

The previous prime is 407203. The next prime is 407207. The reversal of 407204 is 402704.

407204 is an admirable number.

It is not an unprimeable number, because it can be changed into a prime (407203) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7244 + ... + 7299.

It is an arithmetic number, because the mean of its divisors is an integer number (67872).

2⁴⁰⁷²⁰⁴ is an apocalyptic number.

It is an amenable number.

407204 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

407204 is a wasteful number, since it uses less digits than its factorization.

407204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14554 (or 14552 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 17.

The square root of 407204 is about 638.1253795298. The cubic root of 407204 is about 74.1203301584.

Adding to 407204 its reverse (402704), we get a palindrome (809908).

It can be divided in two parts, 407 and 204, that multiplied together give a triangular number (83028 = T₄₀₇).

The spelling of 407204 in words is "four hundred seven thousand, two hundred four", and thus it is an iban number.