420683328 has 224 divisors, whose sum is σ = 1358107520. Its totient is φ = 126904320.

The previous prime is 420683311. The next prime is 420683339. The reversal of 420683328 is 823386024.

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

It is a junction number, because it is equal to n+sod(n) for n = 420683292 and 420683301.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1370151 + ... + 1370457.

It is an arithmetic number, because the mean of its divisors is an integer number (6062980).

Almost surely, 2^420683328 is an apocalyptic number.

420683328 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 420683328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (679053760).

420683328 is an abundant number, since it is smaller than the sum of its proper divisors (937424192).

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

420683328 is a wasteful number, since it uses less digits than its factorization.

420683328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 420683328 is about 20510.5662525441. The cubic root of 420683328 is about 749.2931580419.

The spelling of 420683328 in words is "four hundred twenty million, six hundred eighty-three thousand, three hundred twenty-eight".