405253225 has 48 divisors (see below), whose sum is σ = 587306160. Its totient is φ = 274636800.

The previous prime is 405253213. The next prime is 405253229. The reversal of 405253225 is 522352504.

It can be written as a sum of positive squares in 24 ways, for example, as 280529001 + 124724224 = 16749^2 + 11168^2 .

It is not a de Polignac number, because 405253225 - 2²¹ = 403156073 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 405253193 and 405253202.

It is not an unprimeable number, because it can be changed into a prime (405253229) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 225631 + ... + 227419.

It is an arithmetic number, because the mean of its divisors is an integer number (12235545).

Almost surely, 2^405253225 is an apocalyptic number.

It is an amenable number.

405253225 is a deficient number, since it is larger than the sum of its proper divisors (182052935).

405253225 is a wasteful number, since it uses less digits than its factorization.

405253225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1870 (or 1865 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 28.

The square root of 405253225 is about 20130.9022400885. The cubic root of 405253225 is about 740.0177893216.

The spelling of 405253225 in words is "four hundred five million, two hundred fifty-three thousand, two hundred twenty-five".