459947 has 8 divisors (see below), whose sum is σ = 488832. Its totient is φ = 432000.

The previous prime is 459937. The next prime is 459961. The reversal of 459947 is 749954.

459947 = 19² + 20² + ... + 111².

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 459947 - 2⁶ = 459883 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 459947.

It is not an unprimeable number, because it can be changed into a prime (459937) 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, 947 + ... + 1347.

It is an arithmetic number, because the mean of its divisors is an integer number (61104).

2⁴⁵⁹⁹⁴⁷ is an apocalyptic number.

459947 is a deficient number, since it is larger than the sum of its proper divisors (28885).

459947 is a wasteful number, since it uses less digits than its factorization.

459947 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469.

The product of its digits is 45360, while the sum is 38.

The square root of 459947 is about 678.1939250686. The cubic root of 459947 is about 77.1914614663.

It can be divided in two parts, 4599 and 47, that multiplied together give a triangular number (216153 = T₆₅₇).

The spelling of 459947 in words is "four hundred fifty-nine thousand, nine hundred forty-seven".