473640 has 32 divisors (see below), whose sum is σ = 1421280. Its totient is φ = 126272.

The previous prime is 473633. The next prime is 473647. The reversal of 473640 is 46374.

It is an interprime number because it is at equal distance from previous prime (473633) and next prime (473647).

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

It is a plaindrome in base 13.

It is a nialpdrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 473640.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 473640.

It is not an unprimeable number, because it can be changed into a prime (473647) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1854 + ... + 2093.

It is an arithmetic number, because the mean of its divisors is an integer number (44415).

2⁴⁷³⁶⁴⁰ is an apocalyptic number.

473640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

473640 is an abundant number, since it is smaller than the sum of its proper divisors (947640).

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

473640 is a wasteful number, since it uses less digits than its factorization.

473640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3961 (or 3957 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 24.

The square root of 473640 is about 688.2150826595. The cubic root of 473640 is about 77.9500008297.

The spelling of 473640 in words is "four hundred seventy-three thousand, six hundred forty".