406552888225 has 27 divisors (see below), whose sum is σ = 554169308889. Its totient is φ = 295649323200.

The previous prime is 406552888193. The next prime is 406552888271. The reversal of 406552888225 is 522888255604.

It is a happy number.

The square root of 406552888225 is 637615.

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 67637965329 + 338914922896 = 260073^2 + 582164^2 .

It is not a de Polignac number, because 406552888225 - 2⁵ = 406552888193 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (55).

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, 35063029 + ... + 35074621.

Almost surely, 2^406552888225 is an apocalyptic number.

406552888225 is the 637615-th square number.

406552888225 is the 318808-th centered octagonal number.

It is an amenable number.

406552888225 is a deficient number, since it is larger than the sum of its proper divisors (147616420664).

406552888225 is an frugal number, since it uses more digits than its factorization.

406552888225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23218 (or 11609 counting only the distinct ones).

The product of its (nonzero) digits is 12288000, while the sum is 55.

The spelling of 406552888225 in words is "four hundred six billion, five hundred fifty-two million, eight hundred eighty-eight thousand, two hundred twenty-five".