422500 has 45 divisors (see below), whose sum is σ = 1000461. Its totient is φ = 156000.

The previous prime is 422479. The next prime is 422537. The reversal of 422500 is 5224.

422500 = 121² + 122² + ... + 144².

It is a happy number.

The square root of 422500 is 650.

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

It can be written as a sum of positive squares in 7 ways, for example, as 417316 + 5184 = 646^2 + 72^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 32494 + ... + 32506.

2⁴²²⁵⁰⁰ is an apocalyptic number.

422500 is the 650-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 422500

422500 is an abundant number, since it is smaller than the sum of its proper divisors (577961).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

422500 is a wasteful number, since it uses less digits than its factorization.

422500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50 (or 20 counting only the distinct ones).

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

The cubic root of 422500 is about 75.0370187622.

Adding to 422500 its reverse (5224), we get a palindrome (427724).

It can be divided in two parts, 4 and 22500, that multiplied together give a square (90000 = 300²).

The spelling of 422500 in words is "four hundred twenty-two thousand, five hundred".