470752 has 24 divisors (see below), whose sum is σ = 949536. Its totient is φ = 229632.

The previous prime is 470749. The next prime is 470779. The reversal of 470752 is 257074.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1348 + ... + 1660.

It is an arithmetic number, because the mean of its divisors is an integer number (39564).

2⁴⁷⁰⁷⁵² 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 470752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474768).

470752 is an abundant number, since it is smaller than the sum of its proper divisors (478784).

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

470752 is a wasteful number, since it uses less digits than its factorization.

470752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 25.

The square root of 470752 is about 686.1136932025. The cubic root of 470752 is about 77.7912454381.

It can be divided in two parts, 4 and 70752, that added together give a square (70756 = 266²).

The spelling of 470752 in words is "four hundred seventy thousand, seven hundred fifty-two".