420833385 has 96 divisors (see below), whose sum is σ = 893617920. Its totient is φ = 178827264.

The previous prime is 420833363. The next prime is 420833407. The reversal of 420833385 is 583338024.

It is an interprime number because it is at equal distance from previous prime (420833363) and next prime (420833407).

It is not a de Polignac number, because 420833385 - 2⁶ = 420833321 is a prime.

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 95 ways as a sum of consecutive naturals, for example, 476154 + ... + 477036.

It is an arithmetic number, because the mean of its divisors is an integer number (9308520).

Almost surely, 2^420833385 is an apocalyptic number.

420833385 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

420833385 is an abundant number, since it is smaller than the sum of its proper divisors (472784535).

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

420833385 is a wasteful number, since it uses less digits than its factorization.

420833385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1007 (or 1004 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 420833385 is about 20514.2239677742. The cubic root of 420833385 is about 749.3822379665.

The spelling of 420833385 in words is "four hundred twenty million, eight hundred thirty-three thousand, three hundred eighty-five".