420240330 has 48 divisors (see below), whose sum is σ = 1099621224. Its totient is φ = 111346560.

The previous prime is 420240329. The next prime is 420240343. The reversal of 420240330 is 33042024.

420240330 is a `hidden beast` number, since 420 + 240 + 3 + 3 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 371756961 + 48483369 = 19281^2 + 6963^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 741 + ... + 29000.

Almost surely, 2^420240330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420240330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (549810612).

420240330 is an abundant number, since it is smaller than the sum of its proper divisors (679380894).

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

420240330 is a wasteful number, since it uses less digits than its factorization.

420240330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29911 (or 29908 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 420240330 is about 20499.7641449847. The cubic root of 420240330 is about 749.0300528107.

Adding to 420240330 its reverse (33042024), we get a palindrome (453282354).

The spelling of 420240330 in words is "four hundred twenty million, two hundred forty thousand, three hundred thirty".