420213006 has 24 divisors (see below), whose sum is σ = 958381320. Its totient is φ = 132698736.

The previous prime is 420212963. The next prime is 420213007. The reversal of 420213006 is 600312024.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 420213006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420213007) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 614005 + ... + 614688.

It is an arithmetic number, because the mean of its divisors is an integer number (39932555).

Almost surely, 2^420213006 is an apocalyptic number.

420213006 is an abundant number, since it is smaller than the sum of its proper divisors (538168314).

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

420213006 is a wasteful number, since it uses less digits than its factorization.

420213006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1228720 (or 1228717 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 420213006 is about 20499.0976874593. The cubic root of 420213006 is about 749.0138184964.

The spelling of 420213006 in words is "four hundred twenty million, two hundred thirteen thousand, six".