478764 has 96 divisors (see below), whose sum is σ = 1505280. Its totient is φ = 129600.

The previous prime is 478763. The next prime is 478769. The reversal of 478764 is 467874.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 478764.

It is not an unprimeable number, because it can be changed into a prime (478763) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15429 + ... + 15459.

It is an arithmetic number, because the mean of its divisors is an integer number (15680).

2⁴⁷⁸⁷⁶⁴ is an apocalyptic number.

478764 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 478764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (752640).

478764 is an abundant number, since it is smaller than the sum of its proper divisors (1026516).

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

478764 is a wasteful number, since it uses less digits than its factorization.

478764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 60 counting only the distinct ones).

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

The square root of 478764 is about 691.9277418922. The cubic root of 478764 is about 78.2300898284.

It can be divided in two parts, 4787 and 64, that added together give a triangular number (4851 = T₉₈).

The spelling of 478764 in words is "four hundred seventy-eight thousand, seven hundred sixty-four".