305472 has 56 divisors (see below), whose sum is σ = 849376. Its totient is φ = 96768.

The previous prime is 305471. The next prime is 305477. The reversal of 305472 is 274503.

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 an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 305472.

It is not an unprimeable number, because it can be changed into a prime (305471) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7083 + ... + 7125.

2³⁰⁵⁴⁷² is an apocalyptic number.

305472 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 305472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424688).

305472 is an abundant number, since it is smaller than the sum of its proper divisors (543904).

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

305472 is a wasteful number, since it uses less digits than its factorization.

305472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 85 counting only the distinct ones).

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

The square root of 305472 is about 552.6952143813. The cubic root of 305472 is about 67.3478603648.

Adding to 305472 its reverse (274503), we get a palindrome (579975).

It can be divided in two parts, 305 and 472, that added together give a palindrome (777).

The spelling of 305472 in words is "three hundred five thousand, four hundred seventy-two".