406749 has 12 divisors (see below), whose sum is σ = 631104. Its totient is φ = 232344.

The previous prime is 406739. The next prime is 406789. The reversal of 406749 is 947604.

It is not a de Polignac number, because 406749 - 2⁵ = 406717 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406729) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 1237 + ... + 1530.

It is an arithmetic number, because the mean of its divisors is an integer number (52592).

2⁴⁰⁶⁷⁴⁹ is an apocalyptic number.

406749 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

It is an amenable number.

406749 is a deficient number, since it is larger than the sum of its proper divisors (224355).

406749 is a wasteful number, since it uses less digits than its factorization.

406749 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2784 (or 2777 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 406749 is about 637.7687668740. The cubic root of 406749 is about 74.0927131089.

The spelling of 406749 in words is "four hundred six thousand, seven hundred forty-nine".