478560 has 48 divisors (see below), whose sum is σ = 1508976. Its totient is φ = 127488.

The previous prime is 478531. The next prime is 478571. The reversal of 478560 is 65874.

It is a happy number.

478560 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (30).

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 478560.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19 + ... + 978.

It is an arithmetic number, because the mean of its divisors is an integer number (31437).

2⁴⁷⁸⁵⁶⁰ is an apocalyptic number.

478560 is a gapful number since it is divisible by the number (40) 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 478560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (754488).

478560 is an abundant number, since it is smaller than the sum of its proper divisors (1030416).

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

478560 is a wasteful number, since it uses less digits than its factorization.

478560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1015 (or 1007 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 478560 is about 691.7803119488. The cubic root of 478560 is about 78.2189770424.

Subtracting from 478560 its reverse (65874), we obtain a triangular number (412686 = T₉₀₈).

The spelling of 478560 in words is "four hundred seventy-eight thousand, five hundred sixty".