473952 has 24 divisors (see below), whose sum is σ = 1244376. Its totient is φ = 157952.

The previous prime is 473951. The next prime is 473953. The reversal of 473952 is 259374.

It is an interprime number because it is at equal distance from previous prime (473951) and next prime (473953).

It is a tau number, because it is divible by the number of its divisors (24).

It is a d-powerful number, because it can be written as 4⁹ + 7³ + 9² + 3⁷ + 5⁷ + 2¹⁷ .

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 473952.

It is not an unprimeable number, because it can be changed into a prime (473951) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2373 + ... + 2564.

It is an arithmetic number, because the mean of its divisors is an integer number (51849).

2⁴⁷³⁹⁵² is an apocalyptic number.

It is an amenable number.

473952 is an abundant number, since it is smaller than the sum of its proper divisors (770424).

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

473952 is a wasteful number, since it uses less digits than its factorization.

473952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4950 (or 4942 counting only the distinct ones).

The product of its digits is 7560, while the sum is 30.

The square root of 473952 is about 688.4417186661. The cubic root of 473952 is about 77.9671130261.

The spelling of 473952 in words is "four hundred seventy-three thousand, nine hundred fifty-two".