414904 has 32 divisors (see below), whose sum is σ = 921600. Its totient is φ = 171360.

The previous prime is 414899. The next prime is 414913. The reversal of 414904 is 409414.

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, 1617 + ... + 1855.

It is an arithmetic number, because the mean of its divisors is an integer number (28800).

2⁴¹⁴⁹⁰⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 414904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460800).

414904 is an abundant number, since it is smaller than the sum of its proper divisors (506696).

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

414904 is a wasteful number, since it uses less digits than its factorization.

414904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 414904 is about 644.1304215763. The cubic root of 414904 is about 74.5846072696.

The spelling of 414904 in words is "four hundred fourteen thousand, nine hundred four".