473280 has 112 divisors (see below), whose sum is σ = 1645920. Its totient is φ = 114688.

The previous prime is 473279. The next prime is 473287. The reversal of 473280 is 82374.

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

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 473280.

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 473280.

It is not an unprimeable number, because it can be changed into a prime (473287) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16306 + ... + 16334.

2⁴⁷³²⁸⁰ is an apocalyptic number.

473280 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 473280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (822960).

473280 is an abundant number, since it is smaller than the sum of its proper divisors (1172640).

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

473280 is a wasteful number, since it uses less digits than its factorization.

473280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 56 counting only the distinct ones).

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

The square root of 473280 is about 687.9534867998. The cubic root of 473280 is about 77.9302466472.

The spelling of 473280 in words is "four hundred seventy-three thousand, two hundred eighty".