420032002304 has 36 divisors (see below), whose sum is σ = 843763610844. Its totient is φ = 208678299648.

The previous prime is 420032002301. The next prime is 420032002337. The reversal of 420032002304 is 403200230024.

It can be written as a sum of positive squares in 2 ways, for example, as 264442777600 + 155589224704 = 514240^2 + 394448^2 .

It is a super-2 number, since 2×420032002304² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (420032002301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5185127 + ... + 5265510.

It is an arithmetic number, because the mean of its divisors is an integer number (23437878079).

Almost surely, 2^420032002304 is an apocalyptic number.

It is an amenable number.

420032002304 is an abundant number, since it is smaller than the sum of its proper divisors (423731608540).

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

420032002304 is a wasteful number, since it uses less digits than its factorization.

420032002304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10450810 (or 10450796 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

Adding to 420032002304 its reverse (403200230024), we get a palindrome (823232232328).

The spelling of 420032002304 in words is "four hundred twenty billion, thirty-two million, two thousand, three hundred four".