407304 has 24 divisors (see below), whose sum is σ = 1103310. Its totient is φ = 135744.

The previous prime is 407299. The next prime is 407311. The reversal of 407304 is 403704.

It can be written as a sum of positive squares in only one way, i.e., 396900 + 10404 = 630^2 + 102^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

407304 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2757 + ... + 2900.

2⁴⁰⁷³⁰⁴ is an apocalyptic number.

It is an amenable number.

407304 is an abundant number, since it is smaller than the sum of its proper divisors (696006).

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

407304 is a wasteful number, since it uses less digits than its factorization.

407304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5669 (or 5662 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 407304 is about 638.2037292276. The cubic root of 407304 is about 74.1263970818.

Subtracting from 407304 its reverse (403704), we obtain a square (3600 = 60²).

The spelling of 407304 in words is "four hundred seven thousand, three hundred four", and thus it is an iban number.