405345125 has 16 divisors (see below), whose sum is σ = 510365232. Its totient is φ = 321395200.

The previous prime is 405345091. The next prime is 405345131. The reversal of 405345125 is 521543504.

It can be written as a sum of positive squares in 8 ways, for example, as 345885604 + 59459521 = 18598^2 + 7711^2 .

It is not a de Polignac number, because 405345125 - 2⁸ = 405344869 is a prime.

It is a super-2 number, since 2×405345125² = 328609340722531250, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 224 + ... + 28473.

It is an arithmetic number, because the mean of its divisors is an integer number (31897827).

Almost surely, 2^405345125 is an apocalyptic number.

It is an amenable number.

405345125 is a deficient number, since it is larger than the sum of its proper divisors (105020107).

405345125 is a wasteful number, since it uses less digits than its factorization.

405345125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28825 (or 28815 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 29.

The square root of 405345125 is about 20133.1846710847. The cubic root of 405345125 is about 740.0737234804.

Adding to 405345125 its reverse (521543504), we get a palindrome (926888629).

The spelling of 405345125 in words is "four hundred five million, three hundred forty-five thousand, one hundred twenty-five".