412575 has 12 divisors (see below), whose sum is σ = 682248. Its totient is φ = 220000.

The previous prime is 412571. The next prime is 412589. The reversal of 412575 is 575214.

It is not a de Polignac number, because 412575 - 2² = 412571 is a prime.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors.

412575 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412571) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2676 + ... + 2825.

It is an arithmetic number, because the mean of its divisors is an integer number (56854).

2⁴¹²⁵⁷⁵ is an apocalyptic number.

412575 is a deficient number, since it is larger than the sum of its proper divisors (269673).

412575 is a wasteful number, since it uses less digits than its factorization.

412575 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5514 (or 5509 counting only the distinct ones).

The product of its digits is 1400, while the sum is 24.

The square root of 412575 is about 642.3200137003. The cubic root of 412575 is about 74.4447889063. Note that the first 3 decimals are identical.

Adding to 412575 its reverse (575214), we get a palindrome (987789).

The spelling of 412575 in words is "four hundred twelve thousand, five hundred seventy-five".