420332004 has 135 divisors (see below), whose sum is σ = 1184952153. Its totient is φ = 129900672.

The previous prime is 420331991. The next prime is 420332023. The reversal of 420332004 is 400233024.

The square root of 420332004 is 20502.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 327248100 + 93083904 = 18090^2 + 9648^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 6273579 + ... + 6273645.

Almost surely, 2^420332004 is an apocalyptic number.

420332004 is the 20502-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420332004

420332004 is an abundant number, since it is smaller than the sum of its proper divisors (764620149).

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

420332004 is a wasteful number, since it uses less digits than its factorization.

420332004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 89 counting only the distinct ones).

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

The cubic root of 420332004 is about 749.0845149709.

Multiplying 420332004 by its product of nonzero digits (576), we get a square (242111234304 = 492048²).

Adding to 420332004 its reverse (400233024), we get a palindrome (820565028).

The spelling of 420332004 in words is "four hundred twenty million, three hundred thirty-two thousand, four".