420545025 has 36 divisors (see below), whose sum is σ = 761742540. Its totient is φ = 221760000.

The previous prime is 420545023. The next prime is 420545033. The reversal of 420545025 is 520545024.

420545025 is a `hidden beast` number, since 4 + 205 + 450 + 2 + 5 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 82573569 + 337971456 = 9087^2 + 18384^2 .

It is not a de Polignac number, because 420545025 - 2¹ = 420545023 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 420545025.

It is not an unprimeable number, because it can be changed into a prime (420545023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9525 + ... + 30525.

It is an arithmetic number, because the mean of its divisors is an integer number (21159515).

Almost surely, 2^420545025 is an apocalyptic number.

420545025 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

420545025 is a deficient number, since it is larger than the sum of its proper divisors (341197515).

420545025 is a wasteful number, since it uses less digits than its factorization.

420545025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21106 (or 21098 counting only the distinct ones).

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

The square root of 420545025 is about 20507.1944692588. The cubic root of 420545025 is about 749.2110370076.

Subtracting 420545025 from its reverse (520545024), we obtain a palindrome (99999999).

The spelling of 420545025 in words is "four hundred twenty million, five hundred forty-five thousand, twenty-five".