416525 has 6 divisors (see below), whose sum is σ = 516522. Its totient is φ = 333200.

The previous prime is 416513. The next prime is 416531. The reversal of 416525 is 525614.

It can be written as a sum of positive squares in 3 ways, for example, as 24649 + 391876 = 157^2 + 626^2 .

It is not a de Polignac number, because 416525 - 2¹⁶ = 350989 is a prime.

It is an alternating number because its digits alternate between even and odd.

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 416525.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8306 + ... + 8355.

It is an arithmetic number, because the mean of its divisors is an integer number (86087).

2⁴¹⁶⁵²⁵ is an apocalyptic number.

It is an amenable number.

416525 is a deficient number, since it is larger than the sum of its proper divisors (99997).

416525 is a wasteful number, since it uses less digits than its factorization.

416525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16671 (or 16666 counting only the distinct ones).

The product of its digits is 1200, while the sum is 23.

The square root of 416525 is about 645.3874805107. The cubic root of 416525 is about 74.6816132741.

The spelling of 416525 in words is "four hundred sixteen thousand, five hundred twenty-five".