305724 has 24 divisors (see below), whose sum is σ = 725200. Its totient is φ = 100224.

The previous prime is 305719. The next prime is 305741. The reversal of 305724 is 427503.

It is a happy number.

It is a super-4 number, since 4×305724⁴ (a number of 23 digits) contains 4444 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 305724.

It is a congruent number.

It is an unprimeable number.

305724 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 702 + ... + 1050.

2³⁰⁵⁷²⁴ is an apocalyptic number.

It is an amenable number.

305724 is an abundant number, since it is smaller than the sum of its proper divisors (419476).

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

305724 is a wasteful number, since it uses less digits than its factorization.

305724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429 (or 427 counting only the distinct ones).

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

The square root of 305724 is about 552.9231411327. The cubic root of 305724 is about 67.3663748779.

It can be divided in two parts, 3057 and 24, that added together give a triangular number (3081 = T₇₈).

The spelling of 305724 in words is "three hundred five thousand, seven hundred twenty-four".