478320 has 40 divisors (see below), whose sum is σ = 1483536. Its totient is φ = 127488.

The previous prime is 478273. The next prime is 478321. The reversal of 478320 is 23874.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (478321) by changing a digit.

478320 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 757 + ... + 1236.

2⁴⁷⁸³²⁰ is an apocalyptic number.

478320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

478320 is an abundant number, since it is smaller than the sum of its proper divisors (1005216).

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

478320 is a wasteful number, since it uses less digits than its factorization.

478320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2009 (or 2003 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 478320 is about 691.6068247205. The cubic root of 478320 is about 78.2058991326.

The spelling of 478320 in words is "four hundred seventy-eight thousand, three hundred twenty".