406627225 has 27 divisors (see below), whose sum is σ = 523011447. Its totient is φ = 313606080.

The previous prime is 406627181. The next prime is 406627253. The reversal of 406627225 is 522726604.

The square root of 406627225 is 20165.

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

It can be written as a sum of positive squares in 13 ways, for example, as 28869129 + 377758096 = 5373^2 + 19436^2 .

It is not a de Polignac number, because 406627225 - 2²⁷ = 272409497 is a prime.

It is a super-2 number, since 2×406627225² = 330691400222401250, which contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3730471 + ... + 3730579.

Almost surely, 2^406627225 is an apocalyptic number.

406627225 is the 20165-th square number.

406627225 is the 10083-rd centered octagonal number.

It is an amenable number.

406627225 is a deficient number, since it is larger than the sum of its proper divisors (116384222).

406627225 is an equidigital number, since it uses as much as digits as its factorization.

406627225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 34.

The cubic root of 406627225 is about 740.8531826122.

The spelling of 406627225 in words is "four hundred six million, six hundred twenty-seven thousand, two hundred twenty-five".