419826420 has 216 divisors, whose sum is σ = 1420034616. Its totient is φ = 100279296.

The previous prime is 419826403. The next prime is 419826427. The reversal of 419826420 is 24628914.

419826420 is a `hidden beast` number, since 4 + 1 + 9 + 8 + 2 + 642 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 135769104 + 284057316 = 11652^2 + 16854^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (419826427) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1125354 + ... + 1125726.

Almost surely, 2^419826420 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 419826420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (710017308).

419826420 is an abundant number, since it is smaller than the sum of its proper divisors (1000208196).

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

419826420 is a wasteful number, since it uses less digits than its factorization.

419826420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 419826420 is about 20489.6661759044. Note that the first 3 decimals coincide. The cubic root of 419826420 is about 748.7840563735.

The spelling of 419826420 in words is "four hundred nineteen million, eight hundred twenty-six thousand, four hundred twenty".