420386512 has 80 divisors (see below), whose sum is σ = 1008685440. Its totient is φ = 165275136.

The previous prime is 420386509. The next prime is 420386539. The reversal of 420386512 is 215683024.

It is a super-2 number, since 2×420386512² = 353449638943052288, which contains 22 as substring.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 259818 + ... + 261430.

It is an arithmetic number, because the mean of its divisors is an integer number (12608568).

Almost surely, 2^420386512 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 420386512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504342720).

420386512 is an abundant number, since it is smaller than the sum of its proper divisors (588298928).

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

420386512 is a wasteful number, since it uses less digits than its factorization.

420386512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1820 (or 1814 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

The square root of 420386512 is about 20503.3292906299. The cubic root of 420386512 is about 749.1168936093.

The spelling of 420386512 in words is "four hundred twenty million, three hundred eighty-six thousand, five hundred twelve".