473040 has 100 divisors (see below), whose sum is σ = 1665444. Its totient is φ = 124416.

The previous prime is 473027. The next prime is 473089. The reversal of 473040 is 40374.

It can be written as a sum of positive squares in 2 ways, for example, as 219024 + 254016 = 468^2 + 504^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 3.

It is a congruent number.

It is an unprimeable number.

473040 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6444 + ... + 6516.

2⁴⁷³⁰⁴⁰ is an apocalyptic number.

473040 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 473040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (832722).

473040 is an abundant number, since it is smaller than the sum of its proper divisors (1192404).

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

473040 is a wasteful number, since it uses less digits than its factorization.

473040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 473040 is about 687.7790342835. The cubic root of 473040 is about 77.9170716264.

The spelling of 473040 in words is "four hundred seventy-three thousand, forty", and thus it is an iban number.