414036 has 72 divisors (see below), whose sum is σ = 1257984. Its totient is φ = 112320.

The previous prime is 414031. The next prime is 414049. The reversal of 414036 is 630414.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414031) by changing a digit.

414036 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7786 + ... + 7838.

It is an arithmetic number, because the mean of its divisors is an integer number (17472).

2⁴¹⁴⁰³⁶ 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 414036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (628992).

414036 is an abundant number, since it is smaller than the sum of its proper divisors (843948).

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

414036 is a wasteful number, since it uses less digits than its factorization.

414036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 414036 is about 643.4562922219. The cubic root of 414036 is about 74.5325593760.

The spelling of 414036 in words is "four hundred fourteen thousand, thirty-six".