407214 has 16 divisors (see below), whose sum is σ = 905040. Its totient is φ = 135720.

The previous prime is 407207. The next prime is 407219. The reversal of 407214 is 412704.

It is a happy number.

407214 is nontrivially palindromic in base 7 and base 14.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (407219) by changing a digit.

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, 3717 + ... + 3824.

It is an arithmetic number, because the mean of its divisors is an integer number (56565).

2⁴⁰⁷²¹⁴ is an apocalyptic number.

407214 is an abundant number, since it is smaller than the sum of its proper divisors (497826).

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

407214 is a wasteful number, since it uses less digits than its factorization.

407214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7552 (or 7546 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 407214 is about 638.1332149324. The cubic root of 407214 is about 74.1209368955.

Adding to 407214 its reverse (412704), we get a palindrome (819918).

The spelling of 407214 in words is "four hundred seven thousand, two hundred fourteen", and thus it is an iban number.