414456 has 32 divisors (see below), whose sum is σ = 1184640. Its totient is φ = 118368.

The previous prime is 414451. The next prime is 414457. The reversal of 414456 is 654414.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 414456.

It is not an unprimeable number, because it can be changed into a prime (414451) by changing a digit.

414456 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 7 ways as a sum of consecutive naturals, for example, 1066 + ... + 1401.

It is an arithmetic number, because the mean of its divisors is an integer number (37020).

2⁴¹⁴⁴⁵⁶ is an apocalyptic number.

It is an amenable number.

414456 is an abundant number, since it is smaller than the sum of its proper divisors (770184).

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

414456 is a wasteful number, since it uses less digits than its factorization.

414456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2483 (or 2479 counting only the distinct ones).

The product of its digits is 1920, while the sum is 24.

The square root of 414456 is about 643.7825719915. The cubic root of 414456 is about 74.5577529148.

The spelling of 414456 in words is "four hundred fourteen thousand, four hundred fifty-six".