475752 has 32 divisors (see below), whose sum is σ = 1219680. Its totient is φ = 154560.

The previous prime is 475751. The next prime is 475753. The reversal of 475752 is 257574.

It is an interprime number because it is at equal distance from previous prime (475751) and next prime (475753).

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (475751) 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, 802 + ... + 1262.

It is an arithmetic number, because the mean of its divisors is an integer number (38115).

2⁴⁷⁵⁷⁵² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 475752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609840).

475752 is an abundant number, since it is smaller than the sum of its proper divisors (743928).

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

475752 is a wasteful number, since it uses less digits than its factorization.

475752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 513 (or 509 counting only the distinct ones).

The product of its digits is 9800, while the sum is 30.

The square root of 475752 is about 689.7477799892. The cubic root of 475752 is about 78.0656908798.

The spelling of 475752 in words is "four hundred seventy-five thousand, seven hundred fifty-two".