407312 has 10 divisors (see below), whose sum is σ = 789198. Its totient is φ = 203648.

The previous prime is 407311. The next prime is 407317. The reversal of 407312 is 213704.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 234256 + 173056 = 484^2 + 416^2 .

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 407312.

It is not an unprimeable number, because it can be changed into a prime (407311) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 12713 + ... + 12744.

2⁴⁰⁷³¹² is an apocalyptic number.

It is an amenable number.

407312 is a deficient number, since it is larger than the sum of its proper divisors (381886).

407312 is a wasteful number, since it uses less digits than its factorization.

407312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25465 (or 25459 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 17.

The square root of 407312 is about 638.2099967879. The cubic root of 407312 is about 74.1268823927.

The spelling of 407312 in words is "four hundred seven thousand, three hundred twelve", and thus it is an iban number.