472384 has 42 divisors (see below), whose sum is σ = 1047242. Its totient is φ = 211200.

The previous prime is 472369. The next prime is 472391. The reversal of 472384 is 483274.

It can be written as a sum of positive squares in only one way, i.e., 278784 + 193600 = 528^2 + 440^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7714 + ... + 7774.

472384 is a Friedman number, since it can be written as 72*3^8-4-4, using all its digits and the basic arithmetic operations.

2⁴⁷²³⁸⁴ is an apocalyptic number.

472384 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 472384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (523621).

472384 is an abundant number, since it is smaller than the sum of its proper divisors (574858).

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

472384 is a wasteful number, since it uses less digits than its factorization.

472384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 74 counting only the distinct ones).

The product of its digits is 5376, while the sum is 28.

The square root of 472384 is about 687.3019714798. The cubic root of 472384 is about 77.8810371509.

The spelling of 472384 in words is "four hundred seventy-two thousand, three hundred eighty-four".