470952 has 48 divisors (see below), whose sum is σ = 1322880. Its totient is φ = 151200.

The previous prime is 470947. The next prime is 470957. The reversal of 470952 is 259074.

It is an interprime number because it is at equal distance from previous prime (470947) and next prime (470957).

It is not an unprimeable number, because it can be changed into a prime (470957) by changing a digit.

470952 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2127 + ... + 2337.

It is an arithmetic number, because the mean of its divisors is an integer number (27560).

2⁴⁷⁰⁹⁵² 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 470952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (661440).

470952 is an abundant number, since it is smaller than the sum of its proper divisors (851928).

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

470952 is a wasteful number, since it uses less digits than its factorization.

470952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 470952 is about 686.2594261648. The cubic root of 470952 is about 77.8022604710.

It can be divided in two parts, 4709 and 52, that added together give a square (4761 = 69²).

The spelling of 470952 in words is "four hundred seventy thousand, nine hundred fifty-two".