407525 has 6 divisors (see below), whose sum is σ = 505362. Its totient is φ = 326000.

The previous prime is 407521. The next prime is 407527. The reversal of 407525 is 525704.

It can be written as a sum of positive squares in 3 ways, for example, as 73441 + 334084 = 271^2 + 578^2 .

It is not a de Polignac number, because 407525 - 2² = 407521 is a prime.

It is a d-powerful number, because it can be written as 4 + 0 + 5² + 7⁵ + 2⁶ + 5⁸ .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 407525.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 407525.

It is not an unprimeable number, because it can be changed into a prime (407521) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8126 + ... + 8175.

It is an arithmetic number, because the mean of its divisors is an integer number (84227).

2⁴⁰⁷⁵²⁵ is an apocalyptic number.

It is an amenable number.

407525 is a deficient number, since it is larger than the sum of its proper divisors (97837).

407525 is a wasteful number, since it uses less digits than its factorization.

407525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16311 (or 16306 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 23.

The square root of 407525 is about 638.3768479511. The cubic root of 407525 is about 74.1398014609.

The spelling of 407525 in words is "four hundred seven thousand, five hundred twenty-five".