385472 has 28 divisors (see below), whose sum is σ = 807720. Its totient is φ = 182016.

The previous prime is 385471. The next prime is 385481. The reversal of 385472 is 274583.

It is a happy number.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (385471) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1058 + ... + 1374.

2³⁸⁵⁴⁷² is an apocalyptic number.

385472 is a gapful number since it is divisible by the number (32) 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 385472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403860).

385472 is an abundant number, since it is smaller than the sum of its proper divisors (422248).

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

385472 is a wasteful number, since it uses less digits than its factorization.

385472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 338 counting only the distinct ones).

The product of its digits is 6720, while the sum is 29.

The square root of 385472 is about 620.8639142356. The cubic root of 385472 is about 72.7775803442. Note that the first 3 decimals are identical.

Subtracting from 385472 its reverse (274583), we obtain a square (110889 = 333²).

It can be divided in two parts, 38 and 5472, that multiplied together give a square (207936 = 456²).

The spelling of 385472 in words is "three hundred eighty-five thousand, four hundred seventy-two".