407925 has 54 divisors (see below), whose sum is σ = 872898. Its totient is φ = 181440.

The previous prime is 407923. The next prime is 407947. The reversal of 407925 is 529704.

It can be written as a sum of positive squares in 3 ways, for example, as 86436 + 321489 = 294^2 + 567^2 .

It is not a de Polignac number, because 407925 - 2¹ = 407923 is a prime.

It is a Curzon number.

It is a plaindrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (407923) 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, 11007 + ... + 11043.

2⁴⁰⁷⁹²⁵ is an apocalyptic number.

407925 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

407925 is an abundant number, since it is smaller than the sum of its proper divisors (464973).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

407925 is a wasteful number, since it uses less digits than its factorization.

407925 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 407925 is about 638.6900656813. The cubic root of 407925 is about 74.1640504625.

The spelling of 407925 in words is "four hundred seven thousand, nine hundred twenty-five".