420456366 has 96 divisors (see below), whose sum is σ = 1035165600. Its totient is φ = 126403200.

The previous prime is 420456349. The next prime is 420456373. The reversal of 420456366 is 663654024.

It is a self number, because there is not a number n which added to its sum of digits gives 420456366.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1496146 + ... + 1496426.

It is an arithmetic number, because the mean of its divisors is an integer number (10782975).

Almost surely, 2^420456366 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420456366, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517582800).

420456366 is an abundant number, since it is smaller than the sum of its proper divisors (614709234).

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

420456366 is a wasteful number, since it uses less digits than its factorization.

420456366 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 543 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 420456366 is about 20505.0326993156. The cubic root of 420456366 is about 749.1583839298.

The spelling of 420456366 in words is "four hundred twenty million, four hundred fifty-six thousand, three hundred sixty-six".