412749 has 8 divisors (see below), whose sum is σ = 611520. Its totient is φ = 275148.

The previous prime is 412739. The next prime is 412771. The reversal of 412749 is 947214.

It is a happy number.

It is not a de Polignac number, because 412749 - 2⁵ = 412717 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 15287 = 412749 / (4 + 1 + 2 + 7 + 4 + 9).

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 412749.

It is not an unprimeable number, because it can be changed into a prime (412739) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7617 + ... + 7670.

It is an arithmetic number, because the mean of its divisors is an integer number (76440).

2⁴¹²⁷⁴⁹ is an apocalyptic number.

It is an amenable number.

412749 is a deficient number, since it is larger than the sum of its proper divisors (198771).

412749 is a wasteful number, since it uses less digits than its factorization.

412749 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15296 (or 15290 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 412749 is about 642.4554459260. The cubic root of 412749 is about 74.4552529211.

The spelling of 412749 in words is "four hundred twelve thousand, seven hundred forty-nine".