478674 has 48 divisors (see below), whose sum is σ = 1235520. Its totient is φ = 131040.

The previous prime is 478651. The next prime is 478679. The reversal of 478674 is 476874.

478674 = T₁₆₇ + T₁₆₈ + ... + T₁₉₅.

478674 = 117² + 118² + ... + 144².

It is a happy number.

478674 is nontrivially palindromic in base 15.

It is a Curzon number.

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 478674.

It is not an unprimeable number, because it can be changed into a prime (478679) 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 23 ways as a sum of consecutive naturals, for example, 3589 + ... + 3719.

It is an arithmetic number, because the mean of its divisors is an integer number (25740).

2⁴⁷⁸⁶⁷⁴ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 478674, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (617760).

478674 is an abundant number, since it is smaller than the sum of its proper divisors (756846).

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

478674 is a wasteful number, since it uses less digits than its factorization.

478674 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 172 counting only the distinct ones).

The product of its digits is 37632, while the sum is 36.

The square root of 478674 is about 691.8627031428. The cubic root of 478674 is about 78.2251875179.

The spelling of 478674 in words is "four hundred seventy-eight thousand, six hundred seventy-four".