420769584 has 120 divisors (see below), whose sum is σ = 1290051360. Its totient is φ = 127432704.

The previous prime is 420769571. The next prime is 420769619. The reversal of 420769584 is 485967024.

It is a happy number.

420769584 is a `hidden beast` number, since 4 + 2 + 0 + 7 + 69 + 584 = 666.

It is a super-3 number, since 3×420769584³ (a number of 27 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68029 + ... + 73955.

It is an arithmetic number, because the mean of its divisors is an integer number (10750428).

Almost surely, 2^420769584 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 420769584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (645025680).

420769584 is an abundant number, since it is smaller than the sum of its proper divisors (869281776).

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

420769584 is a wasteful number, since it uses less digits than its factorization.

420769584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5987 (or 5978 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 420769584 is about 20512.6688658497. The cubic root of 420769584 is about 749.3443656919.

The spelling of 420769584 in words is "four hundred twenty million, seven hundred sixty-nine thousand, five hundred eighty-four".