478692 has 18 divisors (see below), whose sum is σ = 1210118. Its totient is φ = 159552.

The previous prime is 478679. The next prime is 478697. The reversal of 478692 is 296874.

It can be written as a sum of positive squares in only one way, i.e., 254016 + 224676 = 504^2 + 474^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 13297 = 478692 / (4 + 7 + 8 + 6 + 9 + 2).

It is a nialpdrome in base 14.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 478692.

It is not an unprimeable number, because it can be changed into a prime (478697) by changing a digit.

478692 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 5 ways as a sum of consecutive naturals, for example, 6613 + ... + 6684.

2⁴⁷⁸⁶⁹² is an apocalyptic number.

It is an amenable number.

478692 is an abundant number, since it is smaller than the sum of its proper divisors (731426).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

478692 is a wasteful number, since it uses less digits than its factorization.

478692 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13307 (or 13302 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 478692 is about 691.8757113817. The cubic root of 478692 is about 78.2261680292.

The spelling of 478692 in words is "four hundred seventy-eight thousand, six hundred ninety-two".