419241420 has 240 divisors, whose sum is σ = 1500938208. Its totient is φ = 97044480.

The previous prime is 419241419. The next prime is 419241421. The reversal of 419241420 is 24142914.

It is a happy number.

419241420 is a `hidden beast` number, since 419 + 241 + 4 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (419241419) and next prime (419241421).

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

It is not an unprimeable number, because it can be changed into a prime (419241421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 357435 + ... + 358605.

Almost surely, 2^419241420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 419241420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (750469104).

419241420 is an abundant number, since it is smaller than the sum of its proper divisors (1081696788).

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

419241420 is a wasteful number, since it uses less digits than its factorization.

419241420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1222 (or 1211 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 419241420 is about 20475.3857106527. The cubic root of 419241420 is about 748.4361012275.

The spelling of 419241420 in words is "four hundred nineteen million, two hundred forty-one thousand, four hundred twenty".