470352 has 40 divisors (see below), whose sum is σ = 1249920. Its totient is φ = 152320.

The previous prime is 470347. The next prime is 470359. The reversal of 470352 is 253074.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (470359) by changing a digit.

470352 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1849 + ... + 2087.

It is an arithmetic number, because the mean of its divisors is an integer number (31248).

2⁴⁷⁰³⁵² 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 470352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624960).

470352 is an abundant number, since it is smaller than the sum of its proper divisors (779568).

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

470352 is a wasteful number, since it uses less digits than its factorization.

470352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 21.

The square root of 470352 is about 685.8221343760. The cubic root of 470352 is about 77.7692060092.

The spelling of 470352 in words is "four hundred seventy thousand, three hundred fifty-two".