420455025 has 27 divisors (see below), whose sum is σ = 753632971. Its totient is φ = 224078640.

The previous prime is 420455011. The next prime is 420455027. The reversal of 420455025 is 520554024.

The square root of 420455025 is 20505.

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., 151363809 + 269091216 = 12303^2 + 16404^2 .

It is not a de Polignac number, because 420455025 - 2¹⁹ = 419930737 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 420455025.

It is not an unprimeable number, because it can be changed into a prime (420455027) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 306892 + ... + 308258.

Almost surely, 2^420455025 is an apocalyptic number.

420455025 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

420455025 is the 20505-th square number.

420455025 is the 10253-rd centered octagonal number.

It is an amenable number.

420455025 is a deficient number, since it is larger than the sum of its proper divisors (333177946).

420455025 is an equidigital number, since it uses as much as digits as its factorization.

420455025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2750 (or 1375 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 27.

The cubic root of 420455025 is about 749.1575874758.

The spelling of 420455025 in words is "four hundred twenty million, four hundred fifty-five thousand, twenty-five".