473760 has 144 divisors (see below), whose sum is σ = 1886976. Its totient is φ = 105984.

The previous prime is 473743. The next prime is 473761. The reversal of 473760 is 67374.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (473761) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10057 + ... + 10103.

It is an arithmetic number, because the mean of its divisors is an integer number (13104).

2⁴⁷³⁷⁶⁰ is an apocalyptic number.

473760 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 473760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (943488).

473760 is an abundant number, since it is smaller than the sum of its proper divisors (1413216).

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

473760 is a wasteful number, since it uses less digits than its factorization.

473760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The square root of 473760 is about 688.3022591856. The cubic root of 473760 is about 77.9565833328.

The spelling of 473760 in words is "four hundred seventy-three thousand, seven hundred sixty".