406224025 has 27 divisors (see below), whose sum is σ = 525466461. Its totient is φ = 311515680.

The previous prime is 406224019. The next prime is 406224029. The reversal of 406224025 is 520422604.

The square root of 406224025 is 20155.

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 5583769 + 400640256 = 2363^2 + 20016^2 .

It is not a de Polignac number, because 406224025 - 2³ = 406224017 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (406224029) 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, 2922406 + ... + 2922544.

Almost surely, 2^406224025 is an apocalyptic number.

406224025 is the 20155-th square number.

406224025 is the 10078-th centered octagonal number.

It is an amenable number.

406224025 is a deficient number, since it is larger than the sum of its proper divisors (119242436).

406224025 is an equidigital number, since it uses as much as digits as its factorization.

406224025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

The cubic root of 406224025 is about 740.6082319787.

Multiplying 406224025 by its sum of digits (25), we get a square (10155600625 = 100775²).

406224025 divided by its sum of digits (25) gives a square (16248961 = 4031²).

Adding to 406224025 its reverse (520422604), we get a palindrome (926646629).

The spelling of 406224025 in words is "four hundred six million, two hundred twenty-four thousand, twenty-five".