420025 has 12 divisors (see below), whose sum is σ = 532332. Its totient is φ = 328640.

The previous prime is 420001. The next prime is 420029. The reversal of 420025 is 520024.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 36864 + 383161 = 192^2 + 619^2 .

It is not a de Polignac number, because 420025 - 2⁹ = 419513 is a prime.

420025 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 419987 and 420014.

It is not an unprimeable number, because it can be changed into a prime (420029) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1167 + ... + 1483.

It is an arithmetic number, because the mean of its divisors is an integer number (44361).

2⁴²⁰⁰²⁵ is an apocalyptic number.

It is an amenable number.

420025 is a deficient number, since it is larger than the sum of its proper divisors (112307).

420025 is a wasteful number, since it uses less digits than its factorization.

420025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 13.

The square root of 420025 is about 648.0933574725. The cubic root of 420025 is about 74.8902097301.

Adding to 420025 its reverse (520024), we get a palindrome (940049).

Subtracting 420025 from its reverse (520024), we obtain a palindrome (99999).

It can be divided in two parts, 4200 and 25, that added together give a square (4225 = 65²).

The spelling of 420025 in words is "four hundred twenty thousand, twenty-five".