420246414 has 64 divisors (see below), whose sum is σ = 1070784000. Its totient is φ = 119677824.

The previous prime is 420246397. The next prime is 420246419. The reversal of 420246414 is 414642024.

It is a happy number.

420246414 is a `hidden beast` number, since 4 + 2 + 0 + 246 + 414 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420246419) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 125737 + ... + 129035.

It is an arithmetic number, because the mean of its divisors is an integer number (16731000).

Almost surely, 2^420246414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420246414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535392000).

420246414 is an abundant number, since it is smaller than the sum of its proper divisors (650537586).

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

420246414 is a wasteful number, since it uses less digits than its factorization.

420246414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3654 (or 3648 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 420246414 is about 20499.9125363988. The cubic root of 420246414 is about 749.0336674700.

Adding to 420246414 its reverse (414642024), we get a palindrome (834888438).

The spelling of 420246414 in words is "four hundred twenty million, two hundred forty-six thousand, four hundred fourteen".