416925 has 36 divisors (see below), whose sum is σ = 797940. Its totient is φ = 207360.

The previous prime is 416887. The next prime is 416947. The reversal of 416925 is 529614.

It can be written as a sum of positive squares in 6 ways, for example, as 4761 + 412164 = 69^2 + 642^2 .

It is not a de Polignac number, because 416925 - 2⁷ = 416797 is a prime.

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

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 416925.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 3771 + ... + 3879.

It is an arithmetic number, because the mean of its divisors is an integer number (22165).

2⁴¹⁶⁹²⁵ is an apocalyptic number.

416925 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

416925 is a deficient number, since it is larger than the sum of its proper divisors (381015).

416925 is a wasteful number, since it uses less digits than its factorization.

416925 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 134 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 416925 is about 645.6972975009. The cubic root of 416925 is about 74.7055118700.

The spelling of 416925 in words is "four hundred sixteen thousand, nine hundred twenty-five".