478437 has 8 divisors (see below), whose sum is σ = 644640. Its totient is φ = 315600.

The previous prime is 478433. The next prime is 478441. The reversal of 478437 is 734874.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (478433) and next prime (478441).

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

It is not a de Polignac number, because 478437 - 2² = 478433 is a prime.

478437 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 478398 and 478407.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 478437.

It is not an unprimeable number, because it can be changed into a prime (478433) 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 7 ways as a sum of consecutive naturals, for example, 487 + ... + 1092.

It is an arithmetic number, because the mean of its divisors is an integer number (80580).

2⁴⁷⁸⁴³⁷ is an apocalyptic number.

It is an amenable number.

478437 is a deficient number, since it is larger than the sum of its proper divisors (166203).

478437 is a wasteful number, since it uses less digits than its factorization.

478437 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1683.

The product of its digits is 18816, while the sum is 33.

The square root of 478437 is about 691.6914051801. The cubic root of 478437 is about 78.2122751600.

The spelling of 478437 in words is "four hundred seventy-eight thousand, four hundred thirty-seven".