414092 has 24 divisors (see below), whose sum is σ = 865536. Its totient is φ = 169488.

The previous prime is 414083. The next prime is 414097. The reversal of 414092 is 290414.

414092 = 224² + 225² + ... + 231².

It is a zygodrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (414097) 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, 323 + ... + 965.

It is an arithmetic number, because the mean of its divisors is an integer number (36064).

2⁴¹⁴⁰⁹² is an apocalyptic number.

It is a pronic number, being equal to 643×644.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 414092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432768).

414092 is an abundant number, since it is smaller than the sum of its proper divisors (451444).

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

414092 is a wasteful number, since it uses less digits than its factorization.

414092 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 677 (or 675 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 414092 is about 643.4998057498. The cubic root of 414092 is about 74.5359194986.

The spelling of 414092 in words is "four hundred fourteen thousand, ninety-two".