420252 has 24 divisors (see below), whose sum is σ = 1120896. Its totient is φ = 120048.

The previous prime is 420241. The next prime is 420253. The reversal of 420252 is 252024.

It is a super-2 number, since 2×420252² = 353223487008, which contains 22 as substring.

It is a plaindrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420253) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2418 + ... + 2585.

It is an arithmetic number, because the mean of its divisors is an integer number (46704).

2⁴²⁰²⁵² is an apocalyptic number.

420252 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

420252 is an abundant number, since it is smaller than the sum of its proper divisors (700644).

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

420252 is a wasteful number, since it uses less digits than its factorization.

420252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5017 (or 5015 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 15.

The square root of 420252 is about 648.2684629072. The cubic root of 420252 is about 74.9036986224.

Adding to 420252 its reverse (252024), we get a palindrome (672276).

The spelling of 420252 in words is "four hundred twenty thousand, two hundred fifty-two".