420045025 has 9 divisors (see below), whose sum is σ = 520982931. Its totient is φ = 335954040.

The previous prime is 420045011. The next prime is 420045091. The reversal of 420045025 is 520540024.

The square root of 420045025 is 20495.

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., 151216209 + 268828816 = 12297^2 + 16396^2 .

It is not a de Polignac number, because 420045025 - 2¹¹ = 420042977 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 420044987 and 420045005.

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 8 ways as a sum of consecutive naturals, for example, 100426 + ... + 104524.

Almost surely, 2^420045025 is an apocalyptic number.

420045025 is the 20495-th square number.

420045025 is the 10248-th centered octagonal number.

It is an amenable number.

420045025 is a deficient number, since it is larger than the sum of its proper divisors (100937906).

420045025 is an frugal number, since it uses more digits than its factorization.

420045025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8208 (or 4104 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 22.

The cubic root of 420045025 is about 748.9139985973.

Multiplying 420045025 by its product of nonzero digits (1600), we get a square (672072040000 = 819800²).

Adding to 420045025 its reverse (520540024), we get a palindrome (940585049).

The spelling of 420045025 in words is "four hundred twenty million, forty-five thousand, twenty-five".