478907 has 16 divisors (see below), whose sum is σ = 598752. Its totient is φ = 376320.

The previous prime is 478901. The next prime is 478913. The reversal of 478907 is 709874.

It is an interprime number because it is at equal distance from previous prime (478901) and next prime (478913).

It is a cyclic number.

It is not a de Polignac number, because 478907 - 2⁶ = 478843 is a prime.

It is an alternating number because its digits alternate between even and odd.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 478907.

It is not an unprimeable number, because it can be changed into a prime (478901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2333 + ... + 2529.

It is an arithmetic number, because the mean of its divisors is an integer number (37422).

2⁴⁷⁸⁹⁰⁷ is an apocalyptic number.

478907 is a deficient number, since it is larger than the sum of its proper divisors (119845).

478907 is a wasteful number, since it uses less digits than its factorization.

478907 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238.

The product of its (nonzero) digits is 14112, while the sum is 35.

The square root of 478907 is about 692.0310686667. The cubic root of 478907 is about 78.2378777916.

The spelling of 478907 in words is "four hundred seventy-eight thousand, nine hundred seven".