420530152 has 48 divisors (see below), whose sum is σ = 923205060. Its totient is φ = 179053056.

The previous prime is 420530141. The next prime is 420530161. The reversal of 420530152 is 251035024.

It can be written as a sum of positive squares in 2 ways, for example, as 379236676 + 41293476 = 19474^2 + 6426^2 .

It is a super-3 number, since 3×420530152³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 11 ways as a sum of consecutive naturals, for example, 58128 + ... + 64960.

Almost surely, 2^420530152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420530152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461602530).

420530152 is an abundant number, since it is smaller than the sum of its proper divisors (502674908).

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

420530152 is a wasteful number, since it uses less digits than its factorization.

420530152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7010 (or 6999 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

The square root of 420530152 is about 20506.8318372195. The cubic root of 420530152 is about 749.2022047015.

Adding to 420530152 its reverse (251035024), we get a palindrome (671565176).

The spelling of 420530152 in words is "four hundred twenty million, five hundred thirty thousand, one hundred fifty-two".