407114 has 16 divisors (see below), whose sum is σ = 642816. Its totient is φ = 193200.

The previous prime is 407083. The next prime is 407119. The reversal of 407114 is 411704.

It is a junction number, because it is equal to n+sod(n) for n = 407092 and 407101.

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 407114.

It is not an unprimeable number, because it can be changed into a prime (407119) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5699 + ... + 5769.

It is an arithmetic number, because the mean of its divisors is an integer number (40176).

2⁴⁰⁷¹¹⁴ is an apocalyptic number.

407114 is a deficient number, since it is larger than the sum of its proper divisors (235702).

407114 is a wasteful number, since it uses less digits than its factorization.

407114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181.

The product of its (nonzero) digits is 112, while the sum is 17.

The square root of 407114 is about 638.0548565758. The cubic root of 407114 is about 74.1148690781.

Adding to 407114 its reverse (411704), we get a palindrome (818818).

The spelling of 407114 in words is "four hundred seven thousand, one hundred fourteen", and thus it is an iban number.