420583968 has 192 divisors, whose sum is σ = 1413054720. Its totient is φ = 119218176.

The previous prime is 420583967. The next prime is 420583987. The reversal of 420583968 is 869385024.

420583968 is a `hidden beast` number, since 4 + 2 + 0 + 583 + 9 + 68 = 666.

It is not an unprimeable number, because it can be changed into a prime (420583963) 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, 1191280 + ... + 1191632.

It is an arithmetic number, because the mean of its divisors is an integer number (7359660).

Almost surely, 2^420583968 is an apocalyptic number.

420583968 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420583968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (706527360).

420583968 is an abundant number, since it is smaller than the sum of its proper divisors (992470752).

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

420583968 is a wasteful number, since it uses less digits than its factorization.

420583968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 576 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 420583968 is about 20508.1439433216. The cubic root of 420583968 is about 749.2341622562.

The spelling of 420583968 in words is "four hundred twenty million, five hundred eighty-three thousand, nine hundred sixty-eight".