478152 has 48 divisors (see below), whose sum is σ = 1345500. Its totient is φ = 153216.

The previous prime is 478139. The next prime is 478157. The reversal of 478152 is 251874.

It can be written as a sum of positive squares in 2 ways, for example, as 443556 + 34596 = 666^2 + 186^2 .

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 478152.

It is not an unprimeable number, because it can be changed into a prime (478157) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1974 + ... + 2202.

2⁴⁷⁸¹⁵² 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 478152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (672750).

478152 is an abundant number, since it is smaller than the sum of its proper divisors (867348).

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

478152 is a wasteful number, since it uses less digits than its factorization.

478152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 263 counting only the distinct ones).

The product of its digits is 2240, while the sum is 27.

The square root of 478152 is about 691.4853577625. The cubic root of 478152 is about 78.1967419927.

It can be divided in two parts, 478 and 152, that added together give a triangular number (630 = T₃₅).

The spelling of 478152 in words is "four hundred seventy-eight thousand, one hundred fifty-two".