414007 has 8 divisors (see below), whose sum is σ = 459792. Its totient is φ = 369600.

The previous prime is 413981. The next prime is 414013. The reversal of 414007 is 700414.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 414007 - 2⁷ = 413879 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414017) 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, 363 + ... + 979.

It is an arithmetic number, because the mean of its divisors is an integer number (57474).

2⁴¹⁴⁰⁰⁷ is an apocalyptic number.

414007 is a deficient number, since it is larger than the sum of its proper divisors (45785).

414007 is a wasteful number, since it uses less digits than its factorization.

414007 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 689.

The product of its (nonzero) digits is 112, while the sum is 16.

The square root of 414007 is about 643.4337572742. The cubic root of 414007 is about 74.5308191935.

The spelling of 414007 in words is "four hundred fourteen thousand, seven", and thus it is an iban number.