305724864 has 112 divisors (see below), whose sum is σ = 841833216. Its totient is φ = 97843200.

The previous prime is 305724857. The next prime is 305724893. The reversal of 305724864 is 468427503.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 558639 + ... + 559185.

It is an arithmetic number, because the mean of its divisors is an integer number (7516368).

Almost surely, 2^305724864 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 305724864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420916608).

305724864 is an abundant number, since it is smaller than the sum of its proper divisors (536108352).

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

305724864 is a wasteful number, since it uses less digits than its factorization.

305724864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 674 (or 664 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 39.

The square root of 305724864 is about 17484.9896768628. The cubic root of 305724864 is about 673.6643833871.

The spelling of 305724864 in words is "three hundred five million, seven hundred twenty-four thousand, eight hundred sixty-four".