473960 has 48 divisors (see below), whose sum is σ = 1160460. Its totient is φ = 174080.

The previous prime is 473953. The next prime is 473971. The reversal of 473960 is 69374.

It can be written as a sum of positive squares in 6 ways, for example, as 209764 + 264196 = 458^2 + 514^2 .

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 473960.

It is an unprimeable 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 11 ways as a sum of consecutive naturals, for example, 11540 + ... + 11580.

2⁴⁷³⁹⁶⁰ is an apocalyptic number.

473960 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 473960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580230).

473960 is an abundant number, since it is smaller than the sum of its proper divisors (686500).

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

473960 is a wasteful number, since it uses less digits than its factorization.

473960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 29.

The square root of 473960 is about 688.4475288648. The cubic root of 473960 is about 77.9675517016.

The spelling of 473960 in words is "four hundred seventy-three thousand, nine hundred sixty".