408947 has 16 divisors (see below), whose sum is σ = 525312. Its totient is φ = 309120.

The previous prime is 408943. The next prime is 408953. The reversal of 408947 is 749804.

It is a happy number.

It is not a de Polignac number, because 408947 - 2² = 408943 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (408943) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3563 + ... + 3675.

It is an arithmetic number, because the mean of its divisors is an integer number (32832).

2⁴⁰⁸⁹⁴⁷ is an apocalyptic number.

408947 is a gapful number since it is divisible by the number (47) formed by its first and last digit.

408947 is a deficient number, since it is larger than the sum of its proper divisors (116365).

408947 is a wasteful number, since it uses less digits than its factorization.

408947 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178.

The product of its (nonzero) digits is 8064, while the sum is 32.

The square root of 408947 is about 639.4896402601. The cubic root of 408947 is about 74.2259347541.

The spelling of 408947 in words is "four hundred eight thousand, nine hundred forty-seven".