420865225 has 27 divisors (see below), whose sum is σ = 575170869. Its totient is φ = 305263200.

The previous prime is 420865199. The next prime is 420865259. The reversal of 420865225 is 522568024.

The square root of 420865225 is 20515.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 4052169 + 416813056 = 2013^2 + 20416^2 .

It is not a de Polignac number, because 420865225 - 2¹³ = 420857033 is a prime.

It is a super-2 number, since 2×420865225² = 354255075228601250, which contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1128139 + ... + 1128511.

Almost surely, 2^420865225 is an apocalyptic number.

420865225 is the 20515-th square number.

420865225 is the 10258-th centered octagonal number.

It is an amenable number.

420865225 is a deficient number, since it is larger than the sum of its proper divisors (154305644).

420865225 is an equidigital number, since it uses as much as digits as its factorization.

420865225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 778 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 34.

The cubic root of 420865225 is about 749.4011367592.

The spelling of 420865225 in words is "four hundred twenty million, eight hundred sixty-five thousand, two hundred twenty-five".