420060330 has 80 divisors (see below), whose sum is σ = 1132838784. Its totient is φ = 111684960.

The previous prime is 420060317. The next prime is 420060337. The reversal of 420060330 is 33060024.

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

It is not an unprimeable number, because it can be changed into a prime (420060337) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 406915 + ... + 407945.

Almost surely, 2^420060330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420060330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566419392).

420060330 is an abundant number, since it is smaller than the sum of its proper divisors (712778454).

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

420060330 is a wasteful number, since it uses less digits than its factorization.

420060330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1553 (or 1544 counting only the distinct ones).

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

The square root of 420060330 is about 20495.3733803510. The cubic root of 420060330 is about 748.9230944393.

The spelling of 420060330 in words is "four hundred twenty million, sixty thousand, three hundred thirty".