420045252 has 48 divisors (see below), whose sum is σ = 1075174464. Its totient is φ = 126576000.

The previous prime is 420045239. The next prime is 420045271. The reversal of 420045252 is 252540024.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15102 + ... + 32682.

It is an arithmetic number, because the mean of its divisors is an integer number (22399468).

Almost surely, 2^420045252 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 420045252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537587232).

420045252 is an abundant number, since it is smaller than the sum of its proper divisors (655129212).

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

420045252 is a wasteful number, since it uses less digits than its factorization.

420045252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17780 (or 17778 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 24.

The square root of 420045252 is about 20495.0055379353. The cubic root of 420045252 is about 748.9141335062.

Adding to 420045252 its reverse (252540024), we get a palindrome (672585276).

The spelling of 420045252 in words is "four hundred twenty million, forty-five thousand, two hundred fifty-two".