414420 has 24 divisors (see below), whose sum is σ = 1160544. Its totient is φ = 110496.

The previous prime is 414413. The next prime is 414431. The reversal of 414420 is 24414.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 414420.

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, 3394 + ... + 3513.

It is an arithmetic number, because the mean of its divisors is an integer number (48356).

2⁴¹⁴⁴²⁰ is an apocalyptic number.

It is an amenable number.

414420 is an abundant number, since it is smaller than the sum of its proper divisors (746124).

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

414420 is a wasteful number, since it uses less digits than its factorization.

414420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6919 (or 6917 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 414420 is about 643.7546116340. The cubic root of 414420 is about 74.5555941357. Note that the first 4 decimals are identical.

Adding to 414420 its reverse (24414), we get a palindrome (438834).

The spelling of 414420 in words is "four hundred fourteen thousand, four hundred twenty", and thus it is an iban number.