414212420 has 24 divisors (see below), whose sum is σ = 870437400. Its totient is φ = 165572352.

The previous prime is 414212419. The next prime is 414212431. The reversal of 414212420 is 24212414.

It can be written as a sum of positive squares in 4 ways, for example, as 334084 + 413878336 = 578^2 + 20344^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 414212392 and 414212401.

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, 27176 + ... + 39584.

It is an arithmetic number, because the mean of its divisors is an integer number (36268225).

Almost surely, 2^414212420 is an apocalyptic number.

It is an amenable number.

414212420 is an abundant number, since it is smaller than the sum of its proper divisors (456224980).

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

414212420 is a wasteful number, since it uses less digits than its factorization.

414212420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14087 (or 14085 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 414212420 is about 20352.2092166919. The cubic root of 414212420 is about 745.4314393628.

Adding to 414212420 its reverse (24212414), we get a palindrome (438424834).

The spelling of 414212420 in words is "four hundred fourteen million, two hundred twelve thousand, four hundred twenty".