412419 has 16 divisors (see below), whose sum is σ = 645120. Its totient is φ = 229440.

The previous prime is 412411. The next prime is 412457. The reversal of 412419 is 914214.

It is not a de Polignac number, because 412419 - 2³ = 412411 is a prime.

It is a super-2 number, since 2×412419² = 340178863122, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

412419 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 412395 and 412404.

It is not an unprimeable number, because it can be changed into a prime (412411) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 622 + ... + 1100.

It is an arithmetic number, because the mean of its divisors is an integer number (40320).

2⁴¹²⁴¹⁹ is an apocalyptic number.

412419 is a deficient number, since it is larger than the sum of its proper divisors (232701).

412419 is a wasteful number, since it uses less digits than its factorization.

412419 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 530.

The product of its digits is 288, while the sum is 21.

The square root of 412419 is about 642.1985674229. The cubic root of 412419 is about 74.4354048742.

The spelling of 412419 in words is "four hundred twelve thousand, four hundred nineteen".