420484020 has 48 divisors (see below), whose sum is σ = 1284389568. Its totient is φ = 101935360.

The previous prime is 420484013. The next prime is 420484037. The reversal of 420484020 is 20484024.

It is a super-3 number, since 3×420484020³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 317889 + ... + 319208.

It is an arithmetic number, because the mean of its divisors is an integer number (26758116).

Almost surely, 2^420484020 is an apocalyptic number.

It is an amenable number.

420484020 is an abundant number, since it is smaller than the sum of its proper divisors (863905548).

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

420484020 is a wasteful number, since it uses less digits than its factorization.

420484020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 637120 (or 637118 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The square root of 420484020 is about 20505.7070104886. The cubic root of 420484020 is about 749.1748079660.

The spelling of 420484020 in words is "four hundred twenty million, four hundred eighty-four thousand, twenty".