406952325 has 54 divisors (see below), whose sum is σ = 787075926. Its totient is φ = 199808640.

The previous prime is 406952309. The next prime is 406952327. The reversal of 406952325 is 523259604.

It can be written as a sum of positive squares in 9 ways, for example, as 163405089 + 243547236 = 12783^2 + 15606^2 .

It is not a de Polignac number, because 406952325 - 2⁴ = 406952309 is a prime.

It is a super-2 number, since 2×406952325² = 331220389645811250, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 406952325.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406952327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 1090839 + ... + 1091211.

Almost surely, 2^406952325 is an apocalyptic number.

406952325 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

406952325 is a deficient number, since it is larger than the sum of its proper divisors (380123601).

406952325 is a wasteful number, since it uses less digits than its factorization.

406952325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 775 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 406952325 is about 20173.0593862210. The cubic root of 406952325 is about 741.0505683225.

The spelling of 406952325 in words is "four hundred six million, nine hundred fifty-two thousand, three hundred twenty-five".