414004 has 24 divisors (see below), whose sum is σ = 776160. Its totient is φ = 192864.

The previous prime is 413981. The next prime is 414013. The reversal of 414004 is 400414.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4947 + ... + 5029.

It is an arithmetic number, because the mean of its divisors is an integer number (32340).

2⁴¹⁴⁰⁰⁴ is an apocalyptic number.

It is an amenable number.

414004 is a deficient number, since it is larger than the sum of its proper divisors (362156).

414004 is a wasteful number, since it uses less digits than its factorization.

414004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

The square root of 414004 is about 643.4314260277. The cubic root of 414004 is about 74.5306391699.

Adding to 414004 its reverse (400414), we get a palindrome (814418).

It can be divided in two parts, 41400 and 4, that multiplied together give a triangular number (165600 = T₅₇₅).

The spelling of 414004 in words is "four hundred fourteen thousand, four", and thus it is an iban number.