420312330 has 48 divisors (see below), whose sum is σ = 1094413320. Its totient is φ = 111919104.

The previous prime is 420312329. The next prime is 420312359. The reversal of 420312330 is 33213024.

420312330 is a `hidden beast` number, since 4 + 20 + 312 + 330 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 388129401 + 32182929 = 19701^2 + 5673^2 .

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

It is a Curzon 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 23 ways as a sum of consecutive naturals, for example, 66174 + ... + 72246.

Almost surely, 2^420312330 is an apocalyptic number.

420312330 is an abundant number, since it is smaller than the sum of its proper divisors (674100990).

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

420312330 is a wasteful number, since it uses less digits than its factorization.

420312330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6855 (or 6852 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 420312330 is about 20501.5201875373. The cubic root of 420312330 is about 749.0728276075.

Adding to 420312330 its reverse (33213024), we get a palindrome (453525354).

The spelling of 420312330 in words is "four hundred twenty million, three hundred twelve thousand, three hundred thirty".